| EXAMPLE |
|
| Who is the Dean of the Business School at UTD? |
| *A. |
Dr. Pirkul |
| B. |
Dr. Eastwood |
| C. |
Dr. Milton |
| D. |
None of the above |
| AC Juice Problem |
| AC Juice Inc. makes different kinds of juices. AC Juice wants to develop a juice blend by mixing apples, bananas and carrots. Each bottle contains one pound of juice and should contain at least 15% of each of these three ingredients. The blend requires that the ratio of apples to bananas to carrots is 3:2:1. Apples cost $1.0 per pound; bananas cost $1.2 per pound; and carrots cost $0.80 per pound. Blending, bottling, marketing and all other costs add up to $0.22 per bottle. The selling price is $3.00 per bottle. What should be the quantity of each fruit per bottle, such that AC Juice Inc. maximizes its profits? |
| 1. |
Refer to the AC Juice Problem and start with the original information. At the optimal solution, what is the profit per bottle? |
| A. |
$1.25 |
| B. |
$1.00 |
| C. |
$1.75 |
| D. |
$2.25 |
| 2. |
Refer to the AC Juice Problem and start with the original information. At the optimal solution, what quantity of apple (in pounds) is used in one bottle of juice ? |
| A. |
0.33 |
| B. |
0.5 |
| C. |
1 |
| D. |
0.17 |
| 3. |
Refer to the AC Juice Problem and start with the original information. At the optimal solution, what is the total cost per bottle? |
| A. |
$1.03 |
| B. |
$1.50 |
| C. |
$1.30 |
| D. |
$1.25 |
| 4. |
Refer to the AC Juice Problem and start with the original information. At the optimal solution, what quantity of carrots (in pounds) is used in one bottle of juice ? |
| A. |
0.17 |
| B. |
0.33 |
| C. |
1.5 |
| D. |
0.5 |
| 5. |
Refer to the AC Juice Problem and start with the original information. What is profit per bottle, if the juice blend requires changing the ratio of apples to bananas to carrots to 5:3:1? |
| A. |
$1.75 |
| B. |
$1.45 |
| C. |
$1.74 |
| D. |
$1.85 |
| 6. |
Refer to the AC Juice Problem and start with the original information. What is the cost of fruits per bottle if the juice blend requires changing the ratio of apples to bananas to carrots to 5:3:1? |
| A. |
$1.74 |
| B. |
$1.04 |
| C. |
$1.24 |
| D. |
$1.64 |
| 7. |
Refer to the AC Juice Problem and start with the original information. What quantity of carrots (in pounds) is used in one bottle of juice if the juice blend requires changing the ratio of apples to bananas to carrots to 5:3:1 |
| A. |
0.34 |
| B. |
0.11 |
| C. |
0.54 |
| D. |
0.17 |
| 8. |
Refer to the AC Juice Problem and start with the original information. What quantity of bananas (in pounds) is used in one bottle of juice, if each bottle can contain two pounds of juice? |
| A. |
1 |
| B. |
0.75 |
| C. |
0.48 |
| D. |
0.67 |
| 9. |
Refer to the AC Juice Problem and start with the original information. What is the total cost per bottle, if each bottle can contain two pounds of juice. |
| A. |
$2.07 |
| B. |
$2.29 |
| C. |
$2.16 |
| D. |
$2.51 |
| 10. |
Refer to the AC Juice Problem and start with the original information. What is the profit per bottle if each bottle can contain two pounds of juice and the selling price of the bottle is increased by 50%? |
| A. |
$2.46 |
| B. |
$1.75 |
| C. |
$3.00 |
| D. |
$3.24 |
| Auto Production Problem |
| In the period of two months, an auto manufacturer must meet the following demands for cars and trucks on time: for month 1, 800 cars and 400 trucks; for month 2, 700 cars and 300 trucks. During each month, at most 1000 vehicles can be produced. Each car uses 1 ton of steel, and each truck uses 2 tons of steel. During month 1, steel costs $400 per ton; during month 2, steel costs $600 per ton. At most 2500 tons of steel can be purchased each month. (Steel can be used only during the month in which it is purchased). Each car gets 20 mpg, and each truck gets 10 mpg. During each month, the vehicles produced by the company must average at least 16 mpg. Find out how to meet the demand and mileage requirements at minimum total cost. |
| 11. |
Refer to the Auto Production Problem and start with the original information. At the optimal solution, how many cars were produced in the first month? |
| A. |
400 |
| B. |
600 |
| C. |
1000 |
| D. |
1050 |
| 12. |
Refer to the Auto Production Problem and start with the original information. At the optimal solution, what is the total cost of steel? |
| A. |
$1,340,400.00 |
| B. |
$780,200.00 |
| C. |
$1,340,000.00 |
| D. |
$560,070.00 |
| 13. |
Refer to the Auto Production Problem and start with the original information. At the optimal solution, what is the average mileage in the first month? |
| A. |
16 |
| B. |
17 |
| C. |
13 |
| D. |
14 |
| 14. |
Refer to the Auto Production Problem and start with the original information. At the optimal solution, how many trucks were produced in the second month? |
| A. |
400 |
| B. |
700 |
| C. |
300 |
| D. |
1000 |
| 15. |
Refer to the Auto Production Problem and start with the original information. At the optimal solution, what is the average mileage from cars? |
| A. |
16 |
| B. |
17 |
| C. |
20 |
| D. |
18 |
| 16. |
Refer to the Auto Production Problem and start with the original information. At the optimal solution, how many cars were produced in total? |
| A. |
1300 |
| B. |
400 |
| C. |
700 |
| D. |
1000 |
| 17. |
Refer to the Auto Production Problem and start with the original information. At the optimal solution, what is total steel used in the second month? |
| A. |
1400 |
| B. |
1350 |
| C. |
1250 |
| D. |
1300 |
| 18. |
Refer to the Auto Production Problem and start with the original information. At the optimal solution, what is the cost of steel in the first month? |
| A. |
$134,000.00 |
| B. |
$780,000.00 |
| C. |
$560,000.00 |
| D. |
$550,600.00 |
| 19. |
Refer to the Auto Production Problem and start with the original information. At the optimal solution, in which month and what vehicle does not meet the demand? |
| A. |
Month 1 and trucks |
| B. |
Month 2 and cars |
| C. |
Month 2 and trucks |
| D. |
Month 1 and cars |
| 20. |
Refer to the Auto Production Problem and start with the original information. At the optimal solution, what is the average mileage (in mpg) from both cars and trucks in the second month? |
| A. |
16 |
| B. |
15.5 |
| C. |
17 |
| D. |
15.9 |
| Bat Production Problem |
| Bats Inc. produces bats for different sports. It produces cricket bats, baseball bats, and hockey sticks. Each bat, or stick, goes through a similar process: cutting, shaping, curing, polishing and finishing. The processing time for each product, available time, and profit per unit are given in the table below. Given these constraints, how many of each kind of bat or stick should Bats Inc. produce to maximize profits? |
|
| Minutes Required Per Unit of Product |
|
| Baseball bat |
Cricket bat |
Hockey stick |
| Minutes available |
| Cutting |
3.50 |
5.40 |
1.80 |
| 480 |
| Shaping |
1.90 |
3.60 |
5.40 |
| 730 |
| Curing |
3.60 |
1.80 |
3.60 |
| 420 |
| Polishing |
3.60 |
5.40 |
2.70 |
| 590 |
| Finishing |
2.70 |
4.80 |
3.60 |
| 670 |
| Profit Per unit |
$13.00 |
$12.00 |
$10.50 |
| 21. |
Refer to the Bat Production Problem and start with the original information. At the optimal solution, what is the maximum profit that Bats Inc has earned? |
| A. |
$1,625 |
| B. |
$1,650 |
| C. |
$1,675 |
| D. |
$1,700 |
| 22. |
Refer to the Bat Production Problem and start with the original information. At the optimal solution, how many units of baseball bat have been produced by Bats Inc.? |
| A. |
4 |
| B. |
6 |
| C. |
8 |
| D. |
10 |
| 23. |
Refer to the Bat Production Problem and start with the original information. At the optimal solution, how many units of cricket bats have been produced by Bats Inc.? |
| A. |
52 |
| B. |
55 |
| C. |
58 |
| D. |
61 |
| 24. |
Refer to the Bat Production Problem and start with the original information. At the optimal solution, what is the total no. of minutes of cutting is required to make baseball bats? |
| A. |
18 |
| B. |
19 |
| C. |
20 |
| D. |
21 |
| 25. |
Refer to the Bat Production Problem and start with the original information. At the optimal solution, which of the following are the binding constraint? |
| A. |
Cutting |
| B. |
Shaping |
| C. |
Curling |
| D. |
Polishing |
| 26. |
Refer to the Bat Production Problem and start with the original information. At the optimal solution, how many minutes of shaping has been spent on cricket bats? |
| A. |
208 |
| B. |
209 |
| C. |
210 |
| D. |
211 |
| 27. |
Refer to the Bat Production Problem and start with the original information. At the optimal solution, what is the profit earned by selling hockey sticks? |
| A. |
$849 |
| B. |
$850 |
| C. |
$851 |
| D. |
$852 |
| 28. |
Refer to the Bat Production Problem and start with the original information. At the optimal solution, what are the total number of bats that have been sold for all 3 sports? |
| A. |
120 |
| B. |
125 |
| C. |
135 |
| D. |
145 |
| 29. |
Refer to the Bat Production Problem and start with the original information. If the profit earned by selling hockey sticks is increased to $15 then what is the total maximum profit that can be earned by Bats Inc.? |
| A. |
$2,013 |
| B. |
$2,050 |
| C. |
$2,206 |
| D. |
$2,256 |
| 30. |
Refer to the Bat Production Problem and start with the original information. If the profit earned by selling hockey sticks is increased to $15 then what is the total units of baseball bat that have been produced? |
| A. |
6 |
| B. |
4 |
| C. |
2 |
| D. |
0 |
| Bicycles Problem |
| A bicycle manufacturer produces 3 different kinds of bicycles: mountain bikes, road bikes and kids' bikes. These bikes sell at $500, $650, $250 per bike respectively. In one week, the production capacity is 120 for mountain bikes, 100 for road bikes, and 50 for kids' bikes. The manufacturing costs of the bikes are $380, $475, and $120 respectively. Manufacturing costs for all three bikes combined should not exceed $60,000. The company is required to manufacture at least 40 units of each type of bike. Given these constraints, how many units of each type should the company produce to maximize profits during one week? |
| 31. |
Refer to the Bicycles Problem and start with the original information. At the optimal solution, what is the maximum profit that the company makes: |
| A. |
$25,475 |
| B. |
$26,250 |
| C. |
$26,500 |
| D. |
$27,200 |
| 32. |
Refer to the Bicycles Problem and start with the original information. At the optimal solution, how many mountain bikes have been produced? |
| A. |
20 |
| B. |
40 |
| C. |
60 |
| D. |
80 |
| 33. |
Refer to the Bicycles Problem and start with the original information. At the optimal solution, what is the total cost of producing kids bike? |
| A. |
$2,000 |
| B. |
$4,000 |
| C. |
$6,000 |
| D. |
$8,000 |
| 34. |
Refer to the Bicycles Problem and start with the original information. At the optimal solution, what is the total cost of manufacturing all bikes? |
| A. |
$55,000 |
| B. |
$56,200 |
| C. |
$56,500 |
| D. |
$59,675 |
| 35. |
Refer to the Bicycles Problem and start with the original information. At the optimal solution, what is the total cost of manufacturing for mountain bikes and kids bike? |
| A. |
$21,200 |
| B. |
$21,500 |
| C. |
$22,000 |
| D. |
$23,600 |
| 36. |
Refer to the Bicycles Problem and start with the original information. At the optimal solution, what is the profit earned by selling road bikes? |
| A. |
$14,150 |
| B. |
$14,175 |
| C. |
$14,200 |
| D. |
$14,225 |
| 37. |
Refer to the Bicycles Problem and start with the original information. At the optimal solution, what is the total revenue earned by the company? |
| A. |
$83,675 |
| B. |
$84,253 |
| C. |
$85,150 |
| D. |
$86,879 |
| 38. |
Refer to the Bicycles Problem and start with the original information. At the optimal solution, for which type of bike is the capacity fully utilized? |
| A. |
Mountain bike |
| B. |
Road bike |
| C. |
both A & B |
| D. |
Kids Bike |
| 39. |
Refer to the Bicycles Problem and start with the original information. If the capacity for the kids bike is doubled then, how many units of kids bike has been produced? |
| A. |
100 |
| B. |
80 |
| C. |
60 |
| D. |
40 |
| 40. |
Refer to the Bicycles Problem and start with the original information. If the capacity for the kids bike is doubled then, what is the maximum profit the company can earn? |
| A. |
$28,576 |
| B. |
$29,875 |
| C. |
$30,000 |
| D. |
$30,245 |
| Bike Manufacturing Problem |
| A bike manufacturer produces 3 different kinds of bikes: mountain bike, road bike and kids bike selling at a price per unit of $500, $650, $250 respectively. The manufacturing cost per bike is: $250, $340, and $120 respectively. Total manufacturing costs cannot exceed $90,000. The company requires that for each mountain bike produced, two road bikes and three kids bikes should be produced. How many bikes of each kind should the company produce to maximize the profit? |
| 41. |
Refer to the Bike Manufacturing Problem and start with the original information. At the optimum solution, the total number of bikes produced are: |
| A. |
312 |
| B. |
414 |
| C. |
592 |
| D. |
387 |
| 42. |
Refer to the Bike Manufacturing Problem and start with the original information. At the optimum solution, total production costs (for all bikes) are: |
| A. |
$89,010 |
| B. |
$72,420 |
| C. |
$92,385 |
| D. |
$69,432 |
| 43. |
Refer to the Bike Manufacturing Problem and start with the original information. At the optimum solution, the number of kids bikes are: |
| A. |
211 |
| B. |
283 |
| C. |
249 |
| D. |
207 |
| 44. |
Refer to the Bike Manufacturing Problem and start with the original information. At the optimum solution, profits are: |
| A. |
86,940 |
| B. |
175,950 |
| C. |
89,010 |
| D. |
124,930 |
| 45. |
Refer to the Bike Manufacturing Problem and start with the original information. At the optimum solution, what is the profit earned by selling Road bikes? |
| A. |
$42,600 |
| B. |
$42,780 |
| C. |
$43,000 |
| D. |
$43,234 |
| 46. |
Refer to the Bike Manufacturing Problem and start with the original information. If the kids bikes is equal to 5 times that of mountain bikes, then what is the total production cost for the company (for all bikes)? |
| A. |
$88,620 |
| B. |
$88,654 |
| C. |
$88,740 |
| D. |
$88,753 |
| 47. |
Refer to the Bike Manufacturing Problem and start with the original information. If the kids bikes is equal to 5 times that of the mountain bikes, then what is the total units of bike produced by the company? |
| A. |
453 |
| B. |
455 |
| C. |
460 |
| D. |
464 |
| 48. |
Refer to the Bike Manufacturing Problem and start with the original information. If the kids bikes is equal to 5 times that of the mountain bikes, then what is the production cost for road bikes incurred by the company? |
| A. |
$39,440 |
| B. |
$40,000 |
| C. |
$35,786 |
| D. |
$38,750 |
| 49. |
Refer to the Bike Manufacturing Problem and start with the original information. If the kids bikes is equal to 5 times that of the mountain bikes, then what is the total profit achieved by the company (for all bikes)? |
| A. |
$88,111 |
| B. |
$88,123 |
| C. |
$88,154 |
| D. |
$88,160 |
| 50. |
Refer to the Bike Manufacturing Problem and start with the original information. If the kids bikes is equal to 5 times that of the mountain bikes, then what is the total revenue earned by the company (for all bikes)? |
| A. |
$1,76,500 |
| B. |
$1,76,900 |
| C. |
$1,76,920 |
| D. |
$1,76,950 |
| Calculator Manufacturing Problem |
| A company produces three types of calculators: Calculator A, B and C. Each calculator requires three steps in the production process. As it goes through production, each calculator consumes material and labor.
How many units of each type of calculator does the company need to produce to maximize its profit given the following constraints:
The company has to meet market demand (and cannot produce more than demand).
Labor hours available at each step are 2000, 3000, and 2100 respectively.
Material costs, labor costs, market demand and other details are given below. |
|
| Labor hours required (per unit) |
Calculator A |
Calculator B |
| Calculator C |
|
| Step 1 |
1 |
1 |
| 3 |
|
| Step 2 |
2 |
2 |
| 3 |
|
| Step 3 |
2 |
3 |
| 1 |
|
| Material Cost (per unit) |
$15 |
$17 |
| $20 |
|
| Selling Price (per unit) |
$75 |
$85 |
| $100 |
|
| Market Demand (units) |
300 |
350 |
| 400 |
|
| Labor cost (per hour) |
$8.00 |
$8.00 |
| $8.00 |
| 51. |
Refer to the Calculator Manufacturing Problem and start with the original information. At the optimal solution, the company earns maximum profits from which calculator? |
| A. |
Calculator A |
| B. |
Calculator B |
| C. |
Calculator C |
| D. |
Neither B or C |
| 52. |
Refer to the Calculator Manufacturing Problem and start with the original information. At the optimal solution, how many more labor hour can be utilized in step 2? |
| A. |
3000 |
| B. |
500 |
| C. |
150 |
| D. |
2100 |
| 53. |
Refer to the Calculator Manufacturing Problem and start with the original information. At the optimal solution, what are the maximum profits achieved? |
| A. |
$22,600 |
| B. |
$29,750 |
| C. |
$22,000 |
| D. |
$22,500 |
| 54. |
Refer to the Calculator Manufacturing Problem and start with the original information. At the optimal solution, what are total revenues earned from Calculator B? |
| A. |
$22,600 |
| B. |
$22,750 |
| C. |
$22,500 |
| D. |
$29,750 |
| 55. |
Refer to the Calculator Manufacturing Problem and start with the original information. At the optimal solution, how many labor hours were used in step 3 of manufacturing Calculator B? |
| A. |
1200 |
| B. |
1050 |
| C. |
600 |
| D. |
2050 |
| 56. |
Refer to the Calculator Manufacturing Problem and start with the original information. At the optimal solution, what is the total material cost for manufacturing Calculator C? |
| A. |
$22,400 |
| B. |
$22,500 |
| C. |
$8,000 |
| D. |
$16,500 |
| 57. |
Refer to the Calculator Manufacturing Problem and start with the original information. At the optimal solution, which of the following is true? |
| A. |
The total cost for manufacturing Calculator C is more than A and B combined. |
| B. |
The total no. of labor hours used to make Calculator B is 2100. |
| C. |
The total no. of calculators produced is less than 1000. |
| D. |
The total no. of calculators produced is less than 1000. |
| 58. |
Refer to the Calculator Manufacturing Problem and start with the original information. At the optimal solution, how many Calculator C were manufactured? |
| A. |
350 |
| B. |
300 |
| C. |
400 |
| D. |
420 |
| 59. |
Refer to the Calculator Manufacturing Problem and start with the original information. At the optimal solution, the no. of hours used in step 1 and step 2 is equal for which calculators? |
| A. |
Calculator A |
| B. |
Calculator B |
| C. |
Calculator C |
| D. |
Neither B or C |
| 60. |
Refer to the Calculator Manufacturing Problem and start with the original information. At the optimal solution, what is cost of labor for manufacturing Calculator A? |
| A. |
$12,000 |
| B. |
$15,600 |
| C. |
$16,800 |
| D. |
$22,400 |
| CarPro Problem |
| CarPro is an automobile dealer selling only brand new cars. CarPro sells three types of vehicles: sedans, SUVs and trucks. CarPro places orders to the car manufacturers only when customers have decided to purchase. The ordering cost (per car) of sedan, SUV and truck are $18,000, $20,500 and $19,000, respectively. The sales price (per car) of sedan, SUV and truck are $20,000, $23,000, and $21,500, respectively. The base salary for a sales person is $100/day. In addition, a sales person gets a commission of 5% on the selling price of cars he sells. Each sales person works 8 hours a day. A sales person spends two hours selling a sedan, three hours selling an SUV, and two-and-a-half hours selling a truck. All cars are sold out at the end of every business day, meaning there is no inventory. CarPro can spend a maximum of $300,000 per day on ordering cars. How many sales persons should be hired, and how many of each type of car should CarPro sell? |
|
|
| SEDANS |
SUVs |
| TRUCKS |
|
| Ordering cost |
$18,000 |
$20,500 |
| $19,000 |
|
| Selling Price |
$20,000 |
$23,000 |
| $21,500 |
|
| time to sell |
2 |
3 |
| 2.5 |
|
| commission |
$1,000 |
$1,150 |
| $1,075 |
| 61. |
Refer to the CarPro Problem and start with the original information. At the optimal solution, how many sales persons are hired? |
| A. |
13 |
| B. |
5 |
| C. |
26 |
| D. |
18 |
| 62. |
Refer to the CarPro Problem and start with the original information. At the optimal solution, what are the total profits? |
| A. |
$26,500.00 |
| B. |
$27,650.00 |
| C. |
$20,800.00 |
| D. |
$25,650.00 |
| 63. |
Refer to the CarPro Problem and start with the original information. At the optimal solution, how many sedans are sold in a day? |
| A. |
5 |
| B. |
3 |
| C. |
12 |
| D. |
0 |
| 64. |
Refer to the CarPro Problem and start with the original information. At the optimal solution, how many hours are spent on selling trucks? |
| A. |
35 |
| B. |
40 |
| C. |
18 |
| D. |
26 |
| 65. |
Refer to the CarPro Problem and start with the original information. At the optimal solution, what is the total commission earned from selling SUVs? |
| A. |
$1,500.00 |
| B. |
$1,250.00 |
| C. |
$1,150.00 |
| D. |
$1,345.00 |
| 66. |
Refer to the CarPro Problem and start with the original information. At the optimal solution, what is the total ordering cost? |
| A. |
$265,500.00 |
| B. |
$285,400.00 |
| C. |
$286,500.00 |
| D. |
$264,250.00 |
| 67. |
Refer to the CarPro Problem and start with the original information. At the optimal solution, how many SUVs are sold in a day? |
| A. |
15 |
| B. |
3 |
| C. |
8 |
| D. |
1 |
| 68. |
Refer to the CarPro Problem and start with the original information. At the optimal solution, what are the total costs in a day? |
| A. |
$286,500.00 |
| B. |
$303,200.00 |
| C. |
$287,000.00 |
| D. |
$302,700.00 |
| 69. |
Refer to the CarPro Problem and start with the original information. At the optimal solution, how many trucks are sold in a day? |
| A. |
12 |
| B. |
14 |
| C. |
5 |
| D. |
3 |
| 70. |
Refer to the CarPro Problem and start with the original information. At the optimal solution, how much money is spent in a day on salaries of sales persons? |
| A. |
$500.00 |
| B. |
$1,050.00 |
| C. |
$1,500.00 |
| D. |
$750.00 |
| Cattle Feed Stock Problem |
| Cattle Feed Inc. is making a new food for cattle. This food is made by mixing four ingredients (ingredient 1, 2, 3, and 4) to make one bag. Each bag of this food weighs 15 lbs. Each bag should have at least 8 grams of Vitamin A, and 6 grams of Vitamin B. Costs and nutrition facts for the four ingredients are given below. Develop a model where total costs are minimized while meeting nutritional requirements. |
|
|
| gms / lb. |
|
|
| Ingredient 1 |
Ingredient 2 |
Ingredient 3 |
Ingredient 4 |
|
| Vitamin A (gms/lb.) |
0.50 |
0.70 |
0.40 |
0.40 |
|
| Vitamin B (gms/lb.) |
0.33 |
0.30 |
0.60 |
0.33 |
|
| Cost/lb. |
$19.00 |
$21.00 |
$25.00 |
$17.00 |
| 71. |
Refer to the Cattle Feed Stock Problem and start with the original information. At the optimal solution, what is the least possible cost/lb. for a bag of cattle feed? |
| A. |
$21.25 |
| B. |
$320.68 |
| C |
$318.70 |
| D. |
$212.50 |
| 72. |
Refer to the Cattle Feed Stock Problem and start with the original information. At the optimal solution, how many lbs. of ingredient 1 was used in one bag of cattle feed? |
| A. |
4 |
| B. |
6 |
| C |
0 |
| D. |
6.43 |
| 73. |
Refer to the Cattle Feed Stock Problem and start with the original information. At the optimal solution, how many gms of vitamin A from ingredient 4 was used in a bag of cattle feed? |
| A. |
2.7 |
| B. |
1.48 |
| C |
1.85 |
| D. |
4.62 |
| 74. |
Refer to the Cattle Feed Stock Problem and start with the original information. At the optimal solution, which ingredient costs the most in manufacturing a bag of cattle feed? |
| A. |
Ingredient 1 |
| B. |
ingredient 2 |
| C |
ingredient 3 |
| D. |
ingredient 4 |
| 75. |
Refer to the Cattle Feed Stock Problem and start with the original information. At the optimal solution, how many gms of vitamin B from ingredient 3 was used in making a bag of cattle feed? |
| A. |
4.62 |
| B. |
2.78 |
| C |
4.67 |
| D. |
1.48 |
| 76. |
Refer to the Cattle Feed Stock Problem and start with the original information. What is the least possible cost/lb. for a bag of cattle feed if the weight of the bag is increased by 50%? |
| A. |
$382.50 |
| B. |
$318.70 |
| C |
$17 |
| D. |
$62.96 |
| 77. |
Refer to the Cattle Feed Stock Problem and start with the original information. If the weight of the bag is increased by 50%, what happens to the cost/lb.? |
| A. |
It increases |
| B. |
It decreases |
| C. |
It does not change |
| D. |
It doubles |
| 78. |
Refer to the Cattle Feed Stock Problem and start with the original information. If the weight of the bag is increased by 50%, which ingredient is used the most to make a bag of cattle feed? |
| A. |
Ingredient 1 |
| B. |
ingredient 2 |
| C. |
ingredient 3 |
| D. |
ingredient 4 |
| 79. |
Refer to the Cattle Feed Stock Problem and start with the original information. At the optimal solution, what is the least used ingredient in making a bag of cattle feed? |
| A. |
Ingredient 1 |
| B. |
ingredient 2 |
| C. |
ingredient 3 |
| D. |
ingredient 4 |
| 80. |
Refer to the Cattle Feed Stock Problem and start with the original information. If the weight of the bag is increased by 50%, what happens to the weight of vitamin A and vitamin B used in a bag of cattle feed? |
| A. |
Both the weight of vitamin A and B used, increases by an equal percentage. |
| B. |
The percentage increase in vitamin A is more than the percentage increase in vitamin B. |
| C. |
The percentage increase in vitamin A is less than the percentage increase in vitamin B. |
| D. |
Both the weight of vitamin A and B used, decreases by an equal percentage. |
| Chenwang Manufacturing Company Problem |
| Chenwang Manufacturing has 18,000 labor hours and 120,000 grams of material. The cost of labor per hour is $10, and material costs 60 cents per gram. The company manufactures three products: A, B and C. Quantity of material used per unit of each product, labor time used, demand and selling price are given in the table below. Production must equal or exceed demand. Also, the number of C products should be greater than or equal to half the combined number of A and B products. How much of each product should the company sell to maximize profits? |
|
|
| A |
B |
C |
|
| Material used per unit (grams) |
15 |
9 |
12 |
|
| Labor per unit (hours) |
3 |
1.5 |
2 |
|
| Demand |
2000 |
3500 |
3000 |
|
| Price per unit |
$60 |
$40 |
$45 |
| 81. |
Refer to the Chenwang Manufacturing Company Problem and start with the original information. At the optimal solution, what is the total profit? |
| A. |
$241,200 |
| B. |
$173,500 |
| C. |
$415,000 |
| D. |
$173,800 |
| E. |
$416,500 |
| 82. |
Refer to the Chenwang Manufacturing Company Problem and start with the original information. At the optimal solution, labor hours and materials available are utilised completely for the manufacturing of the three products. |
| A. |
This is TRUE |
| B. |
This is FALSE |
| 83. |
Refer to the Chenwang Manufacturing Company Problem and start with the original information. At the optimal solution, which product was manufactured more than the demand? |
| A. |
Product A |
| B. |
Product B |
| C. |
Product C |
| D. |
All of these |
| E. |
None of these |
| 84. |
Refer to the Chenwang Manufacturing Company Problem and start with the original information. At the optimal solution, which of the following statement is true? |
| A. |
The number of labor hours used to manufacture all three products is same. |
| B. |
The number of units of material used to manufacture all three products is same. |
| C. |
The Profits earned is more than the total cost of manufacturing all three products. |
| D. |
All of these |
| E. |
None of these |
| 85. |
Refer to the Chenwang Manufacturing Company Problem and start with the original information. At the optimal solution, what is the profit per unit for the Product B? |
| A. |
$78.40 |
| B. |
$17.30 |
| C. |
$19.60 |
| D. |
$21.00 |
| E. |
$17.80 |
| 86. |
Refer to the Chenwang Manufacturing Company Problem and start with the original information. At the optimal solution, how many units of Product A are manufactured? |
| A. |
3000 |
| B. |
4000 |
| C. |
1000 |
| D. |
2000 |
| E. |
4500 |
| 87. |
Refer to the Chenwang Manufacturing Company Problem and start with the original information. At the optimal solution, what is the total labor cost? |
| A. |
$241,200 |
| B. |
$180,000 |
| C. |
$160,000 |
| D. |
$241,200 |
| E. |
$135,000 |
| 88. |
Refer to the Chenwang Manufacturing Company Problem and start with the original information. What is the total profit, if the number of labor hours available is 180000. |
| A. |
$241,200 |
| B. |
$173,600 |
| C. |
$208,000 |
| D. |
$241,200 |
| E. |
$172,000 |
| 89. |
Refer to the Chenwang Manufacturing Company Problem and start with the original information. What is the total labor costs, if the number of labor hours available is 180000. |
| A. |
$210,000 |
| B. |
$282,000 |
| C. |
$386,200 |
| D. |
$281,500 |
| E. |
$315,400 |
| 90. |
Refer to the Chenwang Manufacturing Company Problem and start with the original information. If the number of labor hours available is 180000, the number of units manufactured of which product does not change? |
| A. |
Product A |
| B. |
Product B |
| C. |
Product C |
| D. |
All of these |
| E. |
None of these |
| Cherry or Oak Wood Furniture Problem |
| A carpenter wants to maximize profits from selling furniture made from two kinds of wood: cherry or oak. Each unit of furniture requires 30 feet of cherry or 20 feet of oak. Cherry requires 12 labor hours per unit of furniture; oak requires 16 hours of labor per unit of furniture. The cost of wood per foot is $5 (whether cherry or oak); the cost of labor per hour (whether for working on cherry or oak) is $8. Each unit of cherry furniture sells for $600; each unit of oak furniture sells for $500. The carpenter has 1000 feet of wood and can spend a maximum of 600 labor hours. How many units of cherry furniture and oak furniture should the carpenter make to maximize profits? |
| 91. |
Refer to the Cherry or Oak Wood Furniture Problem and start with the original information. At the optimal solution, how many units of furniture were made in total? |
| A. |
40 |
| B. |
17 |
| C. |
42 |
| D. |
27 |
| 92. |
Refer to the Cherry or Oak Wood Furniture Problem and start with the original information. At the optimal solution, what is the maximum possible profit? |
| A. |
$22,500 |
| B. |
$12,700 |
| C. |
$10,000 |
| D. |
$12,500 |
| 93. |
Refer to the Cherry or Oak Wood Furniture Problem and start with the original information. At the optimal solution, what is total cost of wood used to manufacture furniture from oak wood? |
| A. |
$5,700 |
| B. |
$1,600 |
| C. |
$3,200 |
| D. |
$2,500 |
| 94. |
Refer to the Cherry or Oak Wood Furniture Problem and start with the original information. At the optimal solution, what is the total cost of labor? |
| A. |
$4,100 |
| B. |
$4,800 |
| C. |
$3,200 |
| D. |
$5,700 |
| 95. |
Refer to the Cherry or Oak Wood Furniture Problem and start with the original information. At the optimal solution, which of the following is false? |
| A. |
The total no.of units manufacture from oak is more than cherry |
| B. |
The total cost of labor is less than the total cost of wood used |
| C. |
The total no.of units of furniture manufactured is more than 50 |
| D. |
The revenues from cherry wood furniture is $10k. |
| 96. |
Refer to the Cherry or Oak Wood Furniture Problem and start with the original information. At the optimal solution, the total costs incurred is? |
| A. |
$9,800 |
| B. |
$4,800 |
| C. |
$8,900 |
| D. |
$5,200 |
| 97. |
Refer to the Cherry or Oak Wood Furniture Problem and start with the original information. At the optimal solution, what are the total profits from Cherry wood furniture? |
| A. |
$4,100 |
| B. |
$5,900 |
| C. |
$6,800 |
| D. |
$5,800 |
| 98. |
Refer to the Cherry or Oak Wood Furniture Problem and start with the original information. At the optimal solution, what are the total no.of units of Cherry wood furniture manufactured? |
| A. |
17 |
| B. |
9 |
| C. |
25 |
| D. |
15 |
| 99. |
Refer to the Cherry or Oak Wood Furniture Problem and start with the original information. At the optimal solution, how many labor hours were used to manufacture Oak wood furniture? |
| A. |
600 |
| B. |
500 |
| C. |
200 |
| D. |
400 |
| 100. |
Refer to the Cherry or Oak Wood Furniture Problem and start with the original information. At the optimal solution, how many feet of wood is used in manufacturing Cherry wood furniture? |
| A. |
500 |
| B. |
400 |
| C. |
1000 |
| D. |
1100 |
| Cindy's Furniture Company Problem |
| Cindy's furniture company makes only tables and chairs. Each product requires a number of hours of work in the cutting, assembling and polishing departments as shown below. Each set of four chairs brings in profits of $90 and each table brings in $120. The number of chairs must be exactly four times the number of tables. The total number of hours available for Cutting, Assembling & Polishing are: 600, 900, and 300 respectively. Find the optimal solution so as to make the most profits. |
| 101. |
Refer to the Cindy's Furniture Company Problem and start with the original information. At the optimal solution, how much profit did Cindy's company make by selling chairs and tables? |
| A. |
$12600 |
| B. |
$12800 |
| C. |
$13000 |
| D. |
$13200 |
| 102. |
Refer to the Cindy's Furniture Company Problem and start with the original information. At the optimal solution, how much profit did Cindy's company make by selling chairs only? |
| A. |
$5200 |
| B. |
$5400 |
| C. |
$5600 |
| D. |
$5800 |
| 103. |
Refer to the Cindy's Furniture Company Problem and start with the original information. At the optimal solution, how many chairs did Cindy's company manufacture? |
| A. |
60 |
| B. |
120 |
| V. |
180 |
| D. |
240 |
| 104. |
Refer to the Cindy's Furniture Company Problem and start with the original information. At the optimal solution, how many tables did Cindy's furniture manufacture? |
| A. |
20 |
| B. |
40 |
| C. |
60 |
| D. |
80 |
| 105. |
Refer to the Cindy's Furniture Company Problem and start with the original information. Start with the original information. If we increase the maximum number of polishing hours required from 300 to 400, then what is the total profit earned by Cindy's company? |
| A. |
$13000 |
| B. |
$12600 |
| C. |
$13500 |
| D. |
$13860 |
| 106. |
Refer to the Cindy's Furniture Company Problem and start with the original information. Start with the original information. For the optimal solution, how many hours are required for polishing? |
| A. |
100 |
| B. |
200 |
| C. |
250 |
| D. |
300 |
| 107. |
Refer to the Cindy's Furniture Company Problem and start with the original information. If the number of chairs is 6 times that of tables, then how many hours of polishing are utilized? |
| A. |
294 |
| B. |
295 |
| C. |
296 |
| D. |
298 |
| Concession Stand Problem |
| Jennifer is going to be running a concession stand at a soccer game this weekend. She will be selling a variety of snacks and drinks at the event. She is trying to determine what drinks and snacks she should get to maximize her profits.
Jennifer knows that at past events, she has sold more drinks than snacks, so she wants to make sure that at least 60% of the items in her inventory are drinks. In her concession stand, she has room for a total of 65 items (counting both snacks and drinks). Jennifer also wants to make sure she has a variety of drinks and snacks. She wants at least 3, but not more than 15, of each type of drink, and at least 3, but not more than 9, of each type of snack. To keep things simple, she plans on charging $1.50 for every item she sells. Below is a list of the items she is considering, with their respective purchase price per item. How much of each item should she order to maximize profits? Assume that she will sell everything she buys. She cannot buy, or sell, part of an item (all items must be integers). |
|
| Snacks |
Cost Price (per unit) |
| Drinks |
Cost Price (per unit) |
|
| Chips |
$0.30 |
| Soda |
$0.50 |
|
| Candy |
$0.50 |
| Water |
$0.45 |
|
| Fruit |
$1.00 |
| Gatorade |
$0.75 |
|
| Popsicle |
$0.25 |
| 108. |
Refer to the Concession Stand Problem and start with the original information. At the optimum solution, the profits that Jennifer can make is: (pick the closest answer) |
| A. |
$66 |
| B. |
$48 |
| C. |
$54 |
| D. |
$79 |
| 109. |
Refer to the Concession Stand Problem and start with the original information. At the optimum solution, which snack generates the lowest profits for Jennifer? |
| A. |
Fruit |
| B. |
Candy |
| C. |
Popsicle |
| D. |
Chips |
| 110. |
Refer to the Concession Stand Problem and start with the original information. At the optimum solution, which drink generates the highest profits for Jennifer? |
| A. |
Water |
| B. |
Gatorade |
| C. |
Soda |
| D. |
Wine |
| 111. |
Refer to the Concession Stand Problem and start with the original information. If the cost price per unit of soda goes up 20% from its original price, at the optimum solution, the new profits will be lower than the original profits by: |
| A. |
$2.25 |
| B. |
$3.80 |
| C. |
$1.50 |
| D. |
$0.75 |
| 112. |
Refer to the Concession Stand Problem and start with the original information. If the cost price per unit of soda goes up 20% from its original price, at the optimal solution, the profit per unit for soda will reduce by: |
| A. |
$0.25 |
| B. |
$0.1 |
| C. |
$0.20 |
| D. |
$0.52 |
| 113. |
Refer to the Concession Stand Problem and start with the original information. If the cost price per unit of soda goes up 20% from its original price, at the optimal solution, how many total snacks has been ordered by Jennifer: |
| A. |
24 |
| B. |
25 |
| C. |
26 |
| D. |
27 |
| 114. |
Refer to the Concession Stand Problem and start with the original information. If the cost price per unit of soda goes up 20% from its original price, at the optimal solution, how many total drinks has been ordered by Jennifer: |
| A. |
36 |
| B. |
37 |
| C. |
38 |
| D. |
39 |
| 115. |
Refer to the Concession Stand Problem and start with the original information. If Jennifer thought that if she had kept at least 70% of Drinks she would have made more profit, at the optimal solution, is her assumption true? |
| A. |
This is TRUE |
| B. |
This is FALSE |
| 116. |
Refer to the Concession Stand Problem and start with the original information. What is the total profit made by selling water: |
| A. |
$16 |
| B. |
$17 |
| C. |
$18 |
| D. |
$19 |
| 117. |
Refer to the Concession Stand Problem and start with the original information. If the cost price/unit for candy is reduced to half, then how many more candies can Jennifer sell? |
| A. |
2 |
| B. |
3 |
| C. |
4 |
| D. |
5 |
| Dockside Boxes Problem |
| Dockside Boxes has 3 factories and 5 warehouses. Factory A can produce 310 boxes of product every day, factory B can produce 260 boxes and factory C can produce 280 boxes. Warehouses 1 to 5 can store a maximum of 180, 80, 200, 160 and 220 boxes respectively. Transportation costs from factory A, B, C to warehouse 1, 2, 3, 4, 5 are given below. How can the company minimize the total transportation costs? At least 825 boxes have to produced daily. |
|
| Transportation costs |
W1 |
W2 |
W3 |
W4 |
W5 |
|
| Factory A |
₹ 7.00 |
₹ 12.00 |
₹ 4.00 |
₹ 9.00 |
₹ 2.00 |
|
| Factory B |
₹ 8.00 |
₹ 2.00 |
₹ 15.00 |
₹ 9.00 |
₹ 4.00 |
|
| Factory C |
₹ 7.00 |
₹ 4.00 |
₹ 6.00 |
₹ 3.00 |
₹ 7.00 |
| 118. |
Refer to the Dockside Boxes Problem and start with the original information. At the optimal solution, what is the total transportation cost? |
| A. |
$3,200 |
| B. |
$2,300 |
| C. |
$4,180 |
| D. |
$3,300 |
| E. |
$2,900 |
| F. |
$3,120 |
| G. |
$3,400 |
| H. |
$4,110 |
| 119. |
Refer to the Dockside Boxes Problem and start with the original information. At the optimal solution, how many units are produced at factories A, B and C respectively? |
| A. |
380, 210, 235 |
| B. |
330, 230, 410 |
| C. |
220, 320,190 |
| D. |
235, 280, 310 |
| E. |
310, 235, 280 |
| F. |
110, 250, 320 |
| G. |
150, 170, 420 |
| H. |
220, 270, 310 |
| 120. |
Refer to the Dockside Boxes Problem and start with the original information. At the optimal solution, which warehouse/s has space left to accommodate more products? |
| A. |
W1 |
| B. |
W2 |
| C. |
W3 |
| D. |
W4 |
| E. |
W5 |
| F. |
W1 and W2 |
| G. |
W2 and W4 |
| H. |
W3 and W5 |
| 121. |
Refer to the Dockside Boxes Problem and start with the original information. At the optimal solution, which factory spends the most on total transportation cost (include all warehouses)? |
| A. |
Factory A |
| B. |
Factory B |
| C. |
Factory C |
| D. |
None of the above |
| 122. |
Refer to the Dockside Boxes Problem and start with the original information. At the optimal solution, which factory spends the least on total transportation cost (include all warehouses)? |
| A. |
Factory A |
| B. |
Factory B |
| C. |
Factory C |
| D. |
None of the above |
| 123. |
Refer to the Dockside Boxes Problem and start with the original information. At the optimal solution, which warehouse has the highest total transportation cost (include products from all factories)? |
| A. |
W1 |
| B. |
W2 |
| C. |
W3 |
| D. |
W4 |
| E. |
W5 |
| F. |
None of the above |
| 124. |
Refer to the Dockside Boxes Problem and start with the original information. At the optimal solution, which warehouse has the least total transportation cost (include products from all factories)? |
| A. |
W1 |
| B. |
W2 |
| C. |
W3 |
| D. |
W4 |
| E. |
W5 |
| F. |
None of the above |
| 125. |
Refer to the Dockside Boxes Problem and start with the original information. If the cost of transportation from factory A to warehouse 2 and 5 changes to $3 and $12 respectively, what will be the minimum total transportation cost? |
| A. |
$3,315 |
| B. |
$3,510 |
| C. |
$3,525 |
| D. |
$3,220 |
| E. |
$3,515 |
| F |
$3,435 |
| G |
$4,505 |
| H |
$3,105 |
| 126. |
Refer to the Dockside Boxes Problem and start with the original information. If the cost of transportation from factory A to warehouse 2 and 5 changes to $3 and $12 respectively, the number of units shipped from factory A to warehouse 2 increases by: |
| A. |
35 units |
| B. |
30 units |
| C. |
40 units |
| D. |
42 units |
| E. |
45 units |
| F. |
33 units |
| G. |
47 units |
| H. |
50 units |
| 127. |
Refer to the Dockside Boxes Problem and start with the original information. If the cost of transportation from factory A to warehouse 2 and 5 change to 3 and 12 respectively, the change in total transportation charge compared to the original scenario is |
| A. |
- $215 |
| B. |
+ $235 |
| C. |
- $235 |
| D. |
+ $215 |
| E. |
+ $225 |
| F. |
+$256 |
| G. |
- $225 |
| H. |
- $ 256 |
| Ducks and Bears Problem |
| A doll manufacturing company produces two kinds of dolls: teddy bears and little yellow ducks. To produce one teddy bear, the production line requires 6 inches of cloth, 3 pounds of cotton, and 5 buttons. The production of one little yellow duck requires 3 inches of cloth, 4 pounds of cotton, and 5 buttons. The availability of these materials is limited by the company's storage capacity, which only can store 450 inches of cloth, 2000 pounds of cotton and 5000 buttons. The company will earn a profit of $4 for each teddy bear and a profit of $1 for each little yellow duck. The company has the choice of adding a new product: Barbie dolls. Production of each Barbie needs 3 inches of cloth, 2 pounds of cotton and 4 buttons and the company can earn a profit of $3 for each Barbie. In order to maximize the profit, should the company add the Barbie dolls to its product line? (Hint: Compare the profits of two production schedules, one without Barbie production and one with Barbie production.) |
| 128. |
Refer to the Ducks and Bears Problem and start with the original information. At the optimal solution, what is the maximum profit the company can earn if they are considering to make Teddy bears & Yellow ducks: |
| A. |
$300 |
| B. |
$350 |
| C. |
$400 |
| D. |
$450 |
| 129. |
Refer to the Ducks and Bears Problem and start with the original information. At the optimal solution, what is the maximum profit the company can earn if they are considering adding Barbie dolls to its product line: |
| A. |
$350 |
| B. |
$450 |
| C. |
$500 |
| D. |
$550 |
| 130. |
Refer to the Ducks and Bears Problem and start with the original information. At the optimal solution, if the company is not considering barbie dolls to its product line, then how much teddy bears the company can make: |
| A. |
73 |
| B. |
74 |
| C. |
75 |
| D. |
76 |
| 131. |
Refer to the Ducks and Bears Problem and start with the original information. At the optimal solution, if the company is not considering barbie dolls to its product line, then how much Yellow ducks the company makes: |
| A. |
6 |
| B. |
4 |
| C. |
2 |
| D. |
0 |
| 132. |
Refer to the Ducks and Bears Problem and start with the original information. At the optimal solution, if the company is considering barbie dolls to its product line, then how much barbie dolls the company makes to maximize its profit: |
| A. |
150 |
| B. |
175 |
| C. |
200 |
| D. |
225 |
| 133. |
Refer to the Ducks and Bears Problem and start with the original information. At the optimal solution, if the company is considering barbie dolls to its product line, then how much cloth is required for making barbie dolls: |
| A. |
250 |
| B. |
300 |
| C. |
350 |
| D. |
450 |
| 134. |
Refer to the Ducks and Bears Problem and start with the original information. At the optimal solution, if the company is not considering barbie doll to its product line, then which of the following is the biding constraint: |
| A. |
Cloth |
| B. |
Cotton |
| C. |
Buttons |
| D. |
None of the above |
| 135. |
Refer to the Ducks and Bears Problem and start with the original information. At the optimal solution, if the company is not considering barbie doll to its product line, then what is the profit earned by selling teddy bears: |
| A. |
250 |
| B. |
300 |
| C. |
350 |
| D. |
400 |
| 136. |
Refer to the Ducks and Bears Problem and start with the original information. At the optimal solution, if the company is not considering barbie doll to its product line, then how much buttons has been used by the company: |
| A. |
325 |
| B. |
350 |
| C. |
375 |
| D. |
400 |
| 137. |
Refer to the Ducks and Bears Problem and start with the original information. At the optimal solution, if the company is considering barbie doll to its product line, then how much cotton has been used by the company to maximize its profit: |
| A. |
225 |
| B. |
250 |
| C. |
275 |
| D. |
300 |
| EKIN Shoes Problem |
| EKIN is a shoe manufacturing company that produces athletic shoes and casual shoes. Producing shoes requires shoe leathers, synthetic material, and labor hours. The company has 6000 pieces of shoe leathers, 7,000 labor hours and 8000 pieces of synthetic materials. It requires 8 labor hours and 9 pieces of leathers to manufacture 1 pair of athletic shoes. It requires 7 labor hours and 9 pieces of leathers to manufacture 1 pair of casual shoes. For athletic shoes, synthetic materials used are two-thirds of pieces of leathers used. For casual shoes, pieces of leather used are two-thirds of synthetic materials used. (Synthetic materials are in addition to the pieces of leathers). Management earns profits of $92 per pair of athletic shoes and $96 per pair of casual shoes. Calculate the number of synthetic materials that the company need in order to maximize profit? |
| 138. |
Refer to the EKIN Shoes Problem and start with the original information. At the optimal solution, what is the total profit earned by EKIN: |
| A. |
$63,400 |
| B. |
$63,500 |
| C. |
$63,600 |
| D. |
$63,700 |
| 139. |
Refer to the EKIN Shoes Problem and start with the original information. At the optimal solution, how is the total pair of shoes ordered by the company: |
| A. |
576 |
| B. |
666 |
| C. |
687 |
| D. |
699 |
| 140. |
Refer to the EKIN Shoes Problem and start with the original information. At the optimal solution, what is the total number of Athletics shoes did EKIN manufactured: |
| A. |
131 |
| B. |
133 |
| C. |
134 |
| D. |
137 |
| 141. |
Refer to the EKIN Shoes Problem and start with the original information. At the optimal solution, which of the following is the bidding constraint: |
| A. |
Labor hours |
| B. |
Shoe Leathers |
| C. |
Synthetic materials |
| D. |
None of the above |
| 142. |
Refer to the EKIN Shoes Problem and start with the original information. At the optimal solution, what is the profit earned by the company by selling casual shoes: |
| A. |
$51,072 |
| B. |
$52,345 |
| C. |
$52,765 |
| D. |
$53,645 |
| 143. |
Refer to the EKIN Shoes Problem and start with the original information. At the optimal solution, how much is the total labor hours required for making the shoes: |
| A. |
4786 |
| B. |
4796 |
| C. |
4800 |
| D. |
5600 |
| 144. |
Refer to the EKIN Shoes Problem and start with the original information. If the profit per piece for athletic shoes is increased to $96, then how many pairs of casual shoes do the company manufacture: |
| A. |
0 |
| B. |
2 |
| C. |
4 |
| D. |
6 |
| 145. |
Refer to the EKIN Shoes Problem and start with the original information. If the profit per piece for athletic shoes is increased to $96, then how much total synthetic material has been used to make the shoes: |
| A. |
3287 |
| B. |
3996 |
| C. |
4004 |
| D. |
4956 |
| 146. |
Refer to the EKIN Shoes Problem and start with the original information. If the profit per piece for athletic shoes is increased to $96, then how much labor hours has been utilized in making athletic shoes: |
| A. |
5205 |
| B. |
5300 |
| C. |
5328 |
| D. |
5350 |
| 147. |
Refer to the EKIN Shoes Problem and start with the original information. If the profit per piece for athletic shoes is increased to $96, then what is the total profit earned by the Company: |
| A. |
$62,765 |
| B. |
$62,800 |
| C. |
$62,840 |
| D. |
$63,936 |
| Exec Chair Company Problem |
| Joe's Furniture Company produces 3 kinds of chairs which are: executive, office and student. The chairs are produced using two processes and the details are as shown in the table below. Cost per hour and the selling price are also given below. How many chairs of each kind should the company produce to maximize their profits? |
|
| Chair Type |
Number of hours required in cabinet process per chair |
Number of hours required in finishing process per chair |
|
| Executive |
2 |
1 |
|
| Office |
1 |
2 |
|
| Student |
1 |
1 |
|
| Chair Type |
Cabinet Process |
Finishing Process |
|
| Available hours |
8 |
12 |
|
| Costs and selling price |
|
| Chair type |
Cost in cabinet shop per hour |
Cost in finishing shop per hour |
Selling price |
|
| Executive |
$3 |
$4 |
$180 |
|
| Office |
$4 |
$5 |
$130 |
|
| Student |
$2 |
$3 |
$80 |
| 148. |
Refer to the Exec Chair Company Problem and start with the original information. At the optimal solution, what is the maximum profit earned by the Joe's Furniture Company? |
| A. |
$700 |
| B. |
$725 |
| C. |
$800 |
| D. |
$825 |
| 149. |
Refer to the Exec Chair Company Problem and start with the original information. At the optimal solution, how much is the profit earned by selling office chairs? |
| A. |
$580 |
| B. |
$400 |
| C. |
$325 |
| D. |
$200 |
| 150. |
Refer to the Exec Chair Company Problem and start with the original information. At the optimal solution, how many units of executive & student chairs have been sold in order to earn maximum profit? |
| A. |
2,1 |
| B. |
2,3 |
| C. |
1,1 |
| D. |
0,1 |
| 151. |
Refer to the Exec Chair Company Problem and start with the original information. At the optimal solution, how much is the total hours spent on cabinet process while making office chairs? |
| A. |
6 |
| B. |
5 |
| C. |
4 |
| D. |
3 |
| 152. |
Refer to the Exec Chair Company Problem and start with the original information. At the optimal solution, what is the revenue made by Joe's Furniture Company by selling office chairs? |
| A. |
$650 |
| B. |
$750 |
| C. |
$850 |
| D. |
$950 |
| 153. |
Refer to the Exec Chair Company Problem and start with the original information. At the optimal solution, what is the bidding constraint from the following? |
| A. |
Total hours for Cabinet process |
| B. |
Total hours for Finishing process |
| C. |
Both A&B |
| D. |
None of the above |
| 154. |
Refer to the Exec Chair Company Problem and start with the original information. If the no of hours for cabinet process is increased to 12, then what would be the profit earned by Joe's Furniture Company? |
| A. |
$986 |
| B. |
$1112 |
| C. |
$1120 |
| D. |
$1144 |
| 155. |
Refer to the Exec Chair Company Problem and start with the original information. If the no of hours for cabinet process is increased to 12, how many units of student chairs do the Company need to make to earn maximum profit? |
| A. |
0 |
| B. |
1 |
| C. |
2 |
| D. |
3 |
| 156. |
Refer to the Exec Chair Company Problem and start with the original information. At the optimal solution, how many hours have been spent on finishing process while making office chairs? |
| A. |
8 |
| B. |
10 |
| C. |
12 |
| D. |
14 |
| 157. |
Refer to the Exec Chair Company Problem and start with the original information. Start with the original scenario. If the total hours required in the finishing process is increased from 12 to 14, then what is the maximum profit earned by Joe's Furniture Company? |
| A. |
$866 |
| B. |
$820 |
| C. |
$821 |
| D. |
$825 |
| Florist Problem |
| A florist has 420 acres of land on which she plants roses and sunflowers. For each acre of rose planted, her expenses are $40 and for each acre of sunflower planted, her expenses are $120. Each acre of rose requires 100 units of storage and yields a profit of $70. Each acre of sunflower requires 45 units of storage and yields a profit of $95. If the total amount of storage space available is 19,500 units and the florist can spend a maximum of $30,000, how many acres of each flower should she plant in order to maximize her profit? Partial acres are not allowed, that is, acres should be in integers. |
| 158. |
Refer to the Florist Problem and start with the original information. How many acres of roses should be planted in order to maximize profits? |
| A. |
86 |
| B. |
96 |
| C. |
189 |
| D. |
218 |
| 159. |
Refer to the Florist Problem and start with the original information. How many acres of sunflowers should be planted in order to maximize profits? |
| A. |
86 |
| B. |
96 |
| C. |
189 |
| D. |
218 |
| 160. |
Refer to the Florist Problem and start with the original information. At the optimal solution, the total expenses for roses and sunflowers are? |
| A. |
$20,000 |
| B. |
$25,000 |
| C. |
$30,000 |
| D. |
$28,000 |
| 161. |
Refer to the Florist Problem and start with the original information. At the optimal solution, the total profit that can be generated are? |
| A. |
$16,980 |
| B. |
$26,780 |
| C. |
$27,430 |
| D. |
$26,897 |
| 162. |
Refer to the Florist Problem and start with the original information. At the optimal solution, the total acres of roses planted are more than the total acres of sunflowers planted? |
| A. |
This is TRUE |
| B. |
This is FALSE |
| 163. |
Refer to the Florist Problem and start with the original information. Which of the following will increase profits the most? |
| A. |
Increasing budget for expenses by 10% |
| B. |
Increasing storage units by 10% |
| C. |
Increasing available acres by 10% |
| D. |
None of the above |
| 164. |
Refer to the Florist Problem and start with the original information. A 10% increase in profits for each acre of sunflowers planted, and no change in profits for each acre of roses planted, will: |
| A. |
Will increase total profits by more than $2000 |
| B. |
Will change the number of acres planted |
| C. |
Both A and B |
| D. |
Neither A nor B |
| 165. |
Refer to the Florist Problem and start with the original information. A 10% increase in profits for each acre of roses planted, and no change in profits for each acre of sunflowers planted, will: |
| A. |
Will increase total profits by $346 |
| B. |
Will change the number of acres planted |
| C. |
Both A and B |
| D. |
Neither A nor B |
| 166. |
Refer to the Florist Problem and start with the original information. At the optimal solution, how many units of storage space were utilized for Roses? |
| A. |
9506 |
| B. |
9059 |
| C. |
9600 |
| D. |
9450 |
| 167. |
Refer to the Florist Problem and start with the original information. At the optimal solution, how many acres remain unutilized? |
| A. |
0 |
| B. |
106 |
| C. |
105 |
| D. |
315 |
| Furnco manufacturers desks and chairs. Each desk uses 4 units of wood, and each chair uses 3 units of wood. A desk contributes $40 to profit, and a chair contributes $25. The number of chairs produced should be at least twice the number of desks produced. There are 20 units of wood available. |
| 168. |
Refer to the Furnco Desks & Chairs Problem and start with the original information. At the optimal solution, what is the maximum profit? |
| A. |
$160 |
| B. |
$180 |
| C. |
$200 |
| D. |
$150 |
| 169. |
Refer to the Furnco Desks & Chairs Problem and start with the original information. At the optimal solution, how many desks and chairs should be made to maximize profits? |
| A. |
4, 8 |
| B. |
3, 6 |
| C. |
1, 2 |
| D. |
2, 4 |
| 170. |
Refer to the Furnco Desks & Chairs Problem and start with the original information. At the optimal solution, how much should Furnco be willing to pay for each extra unit of wood over its current 20 units? |
| A. |
$16 |
| B. |
$17 |
| C. |
$8 |
| D. |
$22 |
| 171. |
Refer to the Furnco Desks & Chairs Problem and start with the original information. At the optimal solution, how much profit Furnco will earn if the availability of wood is 40 units? |
| A. |
$238 |
| B. |
$247 |
| C. |
$255 |
| D. |
$360 |
| 172. |
Refer to the Furnco Desks & Chairs Problem and start with the original information. At the optimal solution, if the wood availability is increased to 40 units, then what is the profit earned by Frunco by selling desks? |
| A. |
$280 |
| B. |
$160 |
| C. |
$300 |
| D. |
$320 |
| 173. |
Refer to the Furnco Desks & Chairs Problem and start with the original information. At the optimal solution, what is the profit earned by Furnco by selling all the desks? |
| A. |
$60 |
| B. |
$70 |
| C. |
$80 |
| D. |
$90 |
| 174. |
Refer to the Furnco Desks & Chairs Problem and start with the original information. At the optimal solution, what is the profit earned by frunco by selling all the chairs? |
| A. |
$85 |
| B. |
$90 |
| C. |
$95 |
| D. |
$100 |
| 175. |
Refer to the Furnco Desks & Chairs Problem and start with the original information. At the optimal solution, how much wood has been utilized by making desks? |
| A. |
8 |
| B. |
10 |
| C. |
12 |
| D. |
14 |
| 176. |
Refer to the Furnco Desks & Chairs Problem and start with the original information. At the optimal solution, how much wood has been utilized by making chairs? |
| A. |
10 |
| B. |
12 |
| C. |
14 |
| D. |
16 |
| 177. |
Refer to the Furnco Desks & Chairs Problem and start with the original information. If the wood availability is 40 units, then how much wood has been utilized in making desks? |
| A. |
24 |
| B. |
26 |
| C. |
16 |
| D. |
18 |
| Furniture Manufacturing Problem |
| A furniture maker produces high-end conference tables made from rosewood. Accompanying the tables are chairs upholstered in leather. Tables are produced in three sizes: 8-seater, 14-seater, and 24-seater. Profits corresponding to these sizes are $1600, $3200, $6000 per table. There is only one type of chair. Profits per chair are $220. The 8-seater is sold with 8 chairs; 14-seater with 14 chairs; 24-seater with 24 chairs. Resources consumed in producing tables are: wood and labor. Resources consumed in producing chairs are: leather, wood and labor. During a month, the furniture maker has 2400 square feet of leather; 8600 square feet of rosewood; and 2400 hours of labor. Each 8-seater table requires 90 square feet of rosewood and 12 hours of labor. Each 14-seater table requires 160 square feet of rosewood and 22 hours of labor. Each 24-seater table requires 300 square feet of rosewood and 36 hours of labor. The manufacture of one chair consumes 9 square feet of leather, 12 square feet of rosewood, and 8 hours of labor. Market conditions require that the production of 8-seaters be at least three times greater then the number of 24-seaters produced, and that the production of 14-seaters be at least twice the number of 24-seaters. Formulate a linear programming model to maximize profits given the constraints. |
|
| Resource Needed Per Unit |
|
|
| 8-Seater |
14-Seater |
24-Seater |
Chair |
|
| Leather (sq. ft.) |
0 |
0 |
0 |
9 |
|
| Rosewood (sq. ft.) |
90 |
160 |
300 |
12 |
|
| Labor (hours) |
12 |
22 |
36 |
8 |
| 178. |
Refer to the Furniture Manufacturing Problem and start with the original information. At the optimal solution, how many 8-seater tables are manufactured? |
| A. |
11 |
| B. |
6 |
| C. |
12 |
| D. |
2 |
| 179. |
Refer to the Furniture Manufacturing Problem and start with the original information. At the optimal solution, how many square feet of Rosewood is used to make 14-seater table? |
| A. |
1760 |
| B. |
1600 |
| C. |
5900 |
| D. |
600 |
| 180. |
Refer to the Furniture Manufacturing Problem and start with the original information. At the optimal solution, what is the total profit? |
| A. |
$110,080 |
| B. |
$111,800 |
| C. |
$110,080 |
| D. |
$111,180 |
| 181. |
Refer to the Furniture Manufacturing Problem and start with the original information. At the optimal solution, how many chairs are manufactured? |
| A. |
200 |
| B. |
110 |
| C. |
150 |
| D. |
250 |
| 182. |
Refer to the Furniture Manufacturing Problem and start with the original information. At the optimal solution, how many square feet of leather was used? |
| A. |
2500 |
| B. |
2250 |
| C. |
2380 |
| D. |
2300 |
| 183. |
Refer to the Furniture Manufacturing Problem and start with the original information. At the optimal solution, how many square feet of leather is still available for use? |
| A. |
150 |
| B. |
200 |
| C. |
250 |
| D. |
180 |
| 184. |
Refer to the Furniture Manufacturing Problem and start with the original information. At the optimal solution, what is the profits earned from chairs alone? |
| A. |
$52,500 |
| B. |
$35,200 |
| C. |
$55,000 |
| D. |
$52,000 |
| 185. |
Refer to the Furniture Manufacturing Problem and start with the original information. At the optimal solution, the number of labor hours used to manufacture 8-seater tables and 24-seater tables are same. |
| A. |
This is TRUE |
| B. |
This is FALSE |
| 186. |
Refer to the Furniture Manufacturing Problem and start with the original information. At the optimal solution, which of the three inputs were used to the least of its capacity? |
| A. |
Leather |
| B. |
Rosewood |
| C. |
Labor hours |
| D. |
None of the above |
| 187. |
Refer to the Furniture Manufacturing Problem and start with the original information. At the optimal solution, how many labor hours were used for the manufacturing of chairs? |
| A. |
2200 |
| B. |
2000 |
| C. |
2250 |
| D. |
3000 |
| Gifford Gadgets Problem |
| Gifford Gadgets produces 3 different gadgets A, B, and C. Four types of resources are used in the production and commercialization of these gadgets: Labor, Capital, Raw Material, and Transportation. The company has 120 units of Labor, 100 units of Capital, 100 units of Raw Material, and 100 units of Transportation. The production process is such that for every unit of A, two units of B and three units of C are produced. Gifford Gadgets knows that the maximum demand for gadgets A, B, and C are 10, 15, and 25 units respectively. Part production is not allowed. |
|
|
| A |
B |
C |
|
| Price |
₹ 3.00 |
₹ 2.00 |
₹ 6.00 |
|
| Labor |
2 |
4 |
3 |
|
| Capital |
2 |
2 |
1 |
|
| Raw Material |
1 |
3 |
3 |
|
| Transportation |
1 |
0 |
4 |
| 188. |
Refer to the Gifford Gadgets Problem and start with the original information. What is the maximum revenue for Giffords Gadgets from products A, B and C? |
| A. |
$125 |
| B. |
$150 |
| C. |
$210 |
| D. |
$200 |
| E. |
$115 |
| F. |
$120 |
| G. |
$134 |
| H. |
$123 |
| 189. |
Refer to the Gifford Gadgets Problem and start with the original information. At the optimal solution, Gifford Gadgets produce how many units of A? |
| A. |
4 |
| B. |
3 |
| C. |
1 |
| D. |
5 |
| E. |
6 |
| F. |
10 |
| G. |
2 |
| H. |
0 |
| 190. |
Refer to the Gifford Gadgets Problem and start with the original information. At the optimal solution, Gifford Gadgets will be short of how many units at maximum demand for gadget A? |
| A. |
2 |
| B. |
7 |
| C. |
4 |
| D. |
1 |
| E. |
3 |
| F. |
5 |
| G. |
6 |
| H. |
9 |
| 191. |
Refer to the Gifford Gadgets Problem and start with the original information. At the optimal solution, Gifford Gadgets will be short of how many units at maximum demand for gadget B? |
| A. |
4 |
| B. |
8 |
| C. |
2 |
| D. |
5 |
| E. |
3 |
| F. |
1 |
| G. |
7 |
| H. |
6 |
| 192. |
Refer to the Gifford Gadgets Problem and start with the original information. At the optimal solution, Gifford Gadgets will be short of how many units at maximum demand for gadget C? |
| A. |
8 |
| B. |
6 |
| C. |
1 |
| D. |
3 |
| E. |
2 |
| F. |
5 |
| G. |
4 |
| H. |
7 |
| 193. |
Refer to the Gifford Gadgets Problem and start with the original information. If the available units of labors is increased by 30 and the units of raw material is increased by 20, what will be the maximum revenue? |
| A. |
$125 |
| B. |
$150 |
| C. |
$210 |
| D. |
$175 |
| E. |
$115 |
| F. |
$120 |
| G. |
$134 |
| H. |
$123 |
| 194. |
Refer to the Gifford Gadgets Problem and start with the original information. If the available units of labors is increased by 30 and the units of raw material is increased by 20, Gifford Gadgets will be short of how many units of A, B and C at maximum demand? |
| A. |
4, 3, 7 |
| B. |
5, 3, 7 |
| C. |
3, 1 ,4 |
| D. |
2, 1, 4 |
| E. |
3, 2, 4 |
| F. |
3, 1, 3 |
| G. |
4, 5, 7 |
| H. |
2, 3, 4 |
| 195. |
Refer to the Gifford Gadgets Problem and start with the original information. At optimal solution, what is the possible loss of revenue because of not meeting the expected demand? |
| A. |
$60.00 |
| B. |
$55.00 |
| C. |
$40.00 |
| D. |
$45.00 |
| E. |
$30.00 |
| F. |
$35.00 |
| G. |
$75.00 |
| H. |
$70.00 |
| 196. |
Refer to the Gifford Gadgets Problem and start with the original information. If the available units of labors are increased by 30 and the units of raw material is increased by 20, what is the possible loss of revenue because of not meeting the expected demand? |
| A. |
$60.00 |
| B. |
$55.00 |
| C. |
$40.00 |
| D. |
$45.00 |
| E. |
$30.00 |
| F. |
$35.00 |
| G. |
$75.00 |
| H. |
$70.00 |
| 197. |
Refer to the Gifford Gadgets Problem and start with the original information. If the available units of labors are increased by 30 and the units of raw material is increased by 20, the change in maximum revenue compared to the original scenario is: |
| A. |
+$20 |
| B. |
-$20 |
| C. |
+$25 |
| D. |
-$25 |
| E. |
+$30 |
| F. |
-$30 |
| G. |
+$35 |
| H. |
-$35 |
| Growing Berries Problem |
| A farmer produces strawberries and raspberries. The farmer has 2000 acres, 8000 labor hours and 8000 pounds (lbs.) of fertilizer available. Each acre of strawberry requires 6 labor hours per acre and 5 pounds of fertilizer. Each acre of raspberry requires 4 labor hours per acre and 6 pounds of fertilizer. The farmer earns profits of $270 per acre of strawberries, and $245 per acre of raspberries. How many acres of each berry should be planted in order to maximize his profit? The farmer has to produce both strawberries and raspberries. (Acres can be fractional.) |
| 198. |
Refer to the Growing Berries Problem and start with the original information. At the optimal solution, what is the total profit earned by the farmer: |
| A. |
$3,92,500 |
| B. |
$3,95,000 |
| C. |
$3,97,750 |
| D. |
$3,98,250 |
| 199. |
Refer to the Growing Berries Problem and start with the original information. At the optimal solution, how many acres of Strawberry did the farmer planted: |
| A. |
500 |
| B. |
1000 |
| C. |
1500 |
| D. |
2000 |
| 200. |
Refer to the Growing Berries Problem and start with the original information. At the optimal solution, what is the profit earned by planting Raspberry: |
| A. |
$1,21,500 |
| B. |
$1,21,750 |
| C. |
$1,22,500 |
| D. |
$1,23,250 |
| 201. |
Refer to the Growing Berries Problem and start with the original information. At the optimal solution, which of the following are the bidding constraints: |
| A. |
Acres |
| B. |
Labors |
| C. |
Fertilizers |
| D. |
Both C&D |
| 202. |
Refer to the Growing Berries Problem and start with the original information. What is the total acres of land utilized for planting Strawberry & Raspberry: |
| A. |
1500 |
| B. |
1600 |
| C. |
1700 |
| D. |
1800 |
| 203. |
Refer to the Growing Berries Problem and start with the original information. If the total available labor hours is increased to 10000, then what is the total profit earned by the farmer: |
| A. |
$4,30,000 |
| B. |
$4,32,000 |
| C. |
$4,34,000 |
| D. |
$4,36,000 |
| 204. |
Refer to the Growing Berries Problem and start with the original information. If the total available labor hours is increased to 10000, then how much acres of land has been utilized by the farmer: |
| A. |
1400 |
| B. |
1500 |
| C. |
1600 |
| D. |
1700 |
| 205. |
Refer to the Growing Berries Problem and start with the original information. If the total available labor hours is increased to 10000, then how much acres of land has been utilized for Raspberry: |
| A. |
6 |
| B. |
4 |
| C. |
2 |
| D. |
0 |
| 206. |
Refer to the Growing Berries Problem and start with the original information. If the total available labor hours is increased to 10000, then how much hours of labor has been utilized: |
| A. |
9600 |
| B. |
9700 |
| C. |
9800 |
| D. |
9900 |
| 207. |
Refer to the Growing Berries Problem and start with the original information. At the optimal solution, what is the profit earned by planting Strawberry: |
| A. |
$2,75,000 |
| B. |
$2,70,000 |
| C. |
$3,00,000 |
| D. |
$3,25,000 |
| Mixed Jam Problem |
| Warner Fruit is considering developing a mixed jam. There are 3 fruits that Warner Fruit can use: oranges, apples and bananas that cost $8, $5 and $2 per pound respectively. Warner Fruit requires that sugar content of the jam should be between 14% and 21%. The sugar content in oranges, apples and bananas is 30%, 18% and 12% respectively. The finished product must contain all three fruit and each cannot be less than 10% of total by weight. Bananas should be less than 50% of jam. How much of each fruit should Warner Fruit use to create 10 pounds at the lowest cost? |
| 208. |
Refer to the Mixed Jam Problem and start with the original information. At the optimal solution, what is the total cost for making 10 pounds of Jam: |
| A. |
$38 |
| B. |
$40 |
| C. |
$42 |
| D. |
$44 |
| 209. |
Refer to the Mixed Jam Problem and start with the original information. At the optimal solution, how many lbs. of apples has been used to make Jam: |
| A. |
2 |
| B. |
4 |
| C. |
6 |
| D. |
8 |
| 210. |
Refer to the Mixed Jam Problem and start with the original information. At the optimal solution, how much is the total sugar content in the 10 pounds of Jam: |
| A. |
12% |
| B. |
14% |
| C. |
16% |
| D. |
18% |
| 211. |
Refer to the Mixed Jam Problem and start with the original information. At the optimal solution, what is the total cost of bananas that is used in making jam: |
| A. |
$4 |
| B. |
$6 |
| C. |
$8 |
| D. |
$10 |
| 212. |
Refer to the Mixed Jam Problem and start with the original information. If the cost of banana is tripled, then what is the total lbs. of bananas that is used in making Jam: |
| A. |
1 |
| B. |
2 |
| C. |
3 |
| D. |
4 |
| 213. |
Refer to the Mixed Jam Problem and start with the original information. If the cost of banana is tripled, then what is the total cost that is incurred in making Jam: |
| A. |
$53 |
| B. |
$54 |
| C. |
$55 |
| D. |
$56 |
| 214. |
Refer to the Mixed Jam Problem and start with the original information. If the cost of banana is tripled, then what is the cost incurred in apples to make a jam: |
| A. |
$30 |
| B. |
$35 |
| C. |
$40 |
| D. |
$45 |
| 215. |
Refer to the Mixed Jam Problem and start with the original information. If the cost of banana is tripled, then how much is the total sugar content in the 10 pounds of Jam: |
| A. |
16% |
| B. |
17% |
| C. |
18% |
| D. |
19% |
| 216. |
Refer to the Mixed Jam Problem and start with the original information. If Warner fruit wants to produce 12 pounds of Jam, then how much cost would be incurred in making the jam: |
| A. |
$49 |
| B. |
$50 |
| C. |
$52 |
| D. |
$54 |
| 217. |
Refer to the Mixed Jam Problem and start with the original information. If Warner fruit wants to produce 12 pounds of Jam, then how much lbs. of orange will they require: |
| A. |
0 |
| B. |
1.2 |
| C. |
1 |
| D. |
3 |
| Nuts and Dry Fruits Problem |
| A food wholesaler sells packaged nuts and dry fruits. The EnergyPak contains one pound of almonds mixed with four pounds of cashew nuts and generates profits of $4.75. The TrailblazerPak contains two pounds of almonds mixed with three pounds of cashews and earns profits of $3.75. The wholesaler has 120 pounds of almond and 360 pounds of cashew available. How many packages of each mix should company sell to maximize profits? |
| 218. |
Refer to the Nuts and Dry Fruits Problem and start with the original information. At the optimal solution, what is the maximum profit that the company can make: |
| A. |
$432 |
| B. |
$450 |
| C. |
$456 |
| D. |
$459 |
| 219. |
Refer to the Nuts and Dry Fruits Problem and start with the original information. At the optimal solution, what is the total number of packs of Energypak can the company sell in order to make maximum profit: |
| A. |
70 |
| B. |
72 |
| C. |
74 |
| D. |
76 |
| 220. |
Refer to the Nuts and Dry Fruits Problem and start with the original information. At the optimal solution, what is the total number of packs of Trailblazer can the company sell in order to make maximum profit: |
| A. |
20 |
| B. |
22 |
| C. |
24 |
| D. |
26 |
| 221. |
Refer to the Nuts and Dry Fruits Problem and start with the original information. At the optimal solution, what is the total profit earned by selling Energypak: |
| A. |
$300 |
| B. |
$320 |
| C. |
$327 |
| D. |
$342 |
| 222. |
Refer to the Nuts and Dry Fruits Problem and start with the original information. At the optimal solution, what is the total profit earned by selling Trailblazer pak: |
| A. |
$90 |
| B. |
$95 |
| C. |
$100 |
| D. |
$105 |
| 223. |
Refer to the Nuts and Dry Fruits Problem and start with the original information. At the optimal solution, which of the following is the binding constraint: |
| A. |
Almond |
| B. |
Cashew |
| C. |
Both A&B |
| D. |
none of the above |
| 224. |
Refer to the Nuts and Dry Fruits Problem and start with the original information. At the optimal solution, how much is the total number of packs that the company can sell to make maximum profit: |
| A. |
93 |
| B. |
94 |
| C. |
95 |
| D. |
96 |
| 225. |
Refer to the Nuts and Dry Fruits Problem and start with the original information. If the profit for Trailblazer is doubled, then what is the maximum profit that the company can make: |
| A. |
$522 |
| B. |
$525 |
| C. |
$550 |
| D. |
$600 |
| 226. |
Refer to the Nuts and Dry Fruits Problem and start with the original information. If the profit for trailblazer is doubled, then how much profit does the company makes by selling TrailblazerPaks: |
| A. |
$175 |
| B. |
$180 |
| C. |
$185 |
| D. |
$190 |
| 227. |
Refer to the Nuts and Dry Fruits Problem and start with the original information. If the profit for Trailblazer is doubled, then what is the total number of packs the company sells to maximize its profit: |
| A. |
92 |
| B. |
94 |
| C. |
96 |
| D. |
98 |
| Product Installation Problem |
| A company sells and installs two products: Product A and Product B. For these two products, the time taken for installation is 9 hours and 6 hours, and requires 12 pieces and 16 pieces of material respectively. The company makes a per unit profit of $350 and $300 for Product A and Product B respectively. The company has 1500 hours of labor and 2800 pieces of material available. The company can sell a maximum of 50 units of Product B. There is no limit on sales of Product A. How many units of each product should the company produce and install to maximize profits? |
| 228. |
Refer to the Product Installation Problem and start with the original information. At the optimal solution, what are the total profits? |
| A. |
$63,100.00 |
| B. |
$61,600.00 |
| C. |
$62,450.00 |
| D. |
$64,256.00 |
| 229. |
Refer to the Product Installation Problem and start with the original information. At the optimal solution, how many pieces were used in total to install both the products? |
| A. |
2457 |
| B. |
2800 |
| C. |
2392 |
| D. |
2500 |
| 230. |
Refer to the Product Installation Problem and start with the original information. At the optimal solution, how many units of Product A are produced? |
| A. |
134 |
| B. |
150 |
| C. |
167 |
| D. |
126 |
| 231. |
Refer to the Product Installation Problem and start with the original information. At the optimal solution, what are the profits from Product B? |
| A. |
$14,650.00 |
| B. |
$13,420.00 |
| C. |
$15,624.00 |
| D. |
$14,700.00 |
| 232. |
Refer to the Product Installation Problem and start with the original information. At the optimal solution, how many pieces were used in total to install product B? |
| A. |
1549 |
| B. |
1608 |
| C. |
784 |
| D. |
1368 |
| 233. |
Refer to the Product Installation Problem and start with the original information. What are the total profits, if the maximum no. of products B sold can be increased by 50%? |
| A. |
$64,350.00 |
| B. |
$63,250.00 |
| C. |
$65,465.00 |
| D. |
$63,100.00 |
| 234. |
Refer to the Product Installation Problem and start with the original information. How many units of product A are sold, if the maximum no. of products B sold can be increased by 50%? |
| A. |
128 |
| B. |
116 |
| C. |
106 |
| D. |
85 |
| 235. |
Refer to the Product Installation Problem and start with the original information. What are the profits from Product B, if the maximum no. of products B sold can be increased by 50%? |
| A. |
$23,500.00 |
| B. |
$22,500.00 |
| C. |
$14,700.00 |
| D. |
$14,659.00 |
| 236. |
Refer to the Product Installation Problem and start with the original information. At the optimal solution, how many pieces are left over? |
| A. |
2800 |
| B. |
1890 |
| C. |
408 |
| D. |
675 |
| 237. |
Refer to the Product Installation Problem and start with the original information. At the optimal solution, how many hours are spent on installing Product A? |
| A. |
1004 |
| B. |
1500 |
| C. |
1067 |
| D. |
1206 |
| Scrubs Problem |
| "Scrubs" are clothes worn by healthcare professionals such as nurses, surgeons etc. Scrubs Inc. makes only two products: two medical scrubs called Class-3 and Class-5. The company has 900 hours of production time available in its Cutting & Sewing Department; 300 hours in its Finishing Department and 100 hours in its Packaging Department. The production time needed for both types of scrubs are given in the table below. The cost of shipping and handling are paid by the customer. However, the company subsidizes this cost by 75 cents for a Class-3 scrub and one dollar for a Class-5 scrub. (A 'subsidy' means the company pays 75 cents for a Class-3 scrub and one dollar for a Class-5 scrub from its profits-before-shipping). The Marketing Department requires that 4 times as many Class-5 scrubs be sold as Class-3 scrubs. (If 100 Class-3 scrubs are sold, the company will have to sell 400 Class-5 scrubs). Develop a model to maximize profits. How much of each type of scrubs should the company produce? |
|
| Production Time Per Scrub (in hours) |
|
|
| Cutting & Sewing |
Finishing |
Packaging |
Profit per Scrub before shipping |
|
| Class-3 |
1 |
0.50 |
0.13 |
$ 5.00 |
|
| Class-5 |
1.5 |
0.33 |
0.25 |
$ 8.00 |
| 238. |
Refer to the Scrubs Problem and start with the original information. At the optimal solution, what is the maximum possible profits? |
| A. |
$11 |
| B. |
$2,838 |
| C. |
$2,763 |
| D. |
$2,789 |
| 239. |
Refer to the Scrubs Problem and start with the original information. At the optimal solution, how many units of class 3 scrubs were produced? |
| A. |
352 |
| B. |
369 |
| C. |
88 |
| D. |
257 |
| 240. |
Refer to the Scrubs Problem and start with the original information. At the optimal solution, what are the total number of hours spent in the Finishing Department? |
| A. |
300 |
| B. |
161 |
| C. |
90 |
| D. |
100 |
| 241. |
Refer to the Scrubs Problem and start with the original information. At the optimal solution, how many hours are spent in the cutting and sewing department for class - 5 scrubs? |
| A. |
117 |
| B. |
534 |
| C. |
532 |
| D. |
528 |
| 242. |
Refer to the Scrubs Problem and start with the original information. At the optimal solution, how many hours are spent in the packing department for class - 3 scrubs? |
| A. |
11 |
| B. |
117 |
| C. |
88 |
| D. |
44 |
| 243. |
Refer to the Scrubs Problem and start with the original information. At the optimal solution, total no of scrubs produced? |
| A. |
352 |
| B. |
440 |
| C. |
450 |
| D. |
370 |
| 244. |
Refer to the Scrubs Problem and start with the original information. At the optimal solution, which department requires less than 100 hours for both the scrubs? |
| A. |
Cutting & Sewing Department |
| B. |
Finishing Department |
| C. |
Packaging department |
| D. |
None of the above |
| 245. |
Refer to the Scrubs Problem and start with the original information. At the optimal solution, what are the total profits from class - 5 scrubs? |
| A. |
$2,464 |
| B. |
$2,756 |
| C. |
$2,864 |
| D. |
$2,857 |
| 246. |
Refer to the Scrubs Problem and start with the original information. At the optimal solution, what are the total profits before cutting the shipping cost? |
| A. |
$2,864 |
| B. |
$2,464 |
| C. |
$3,256 |
| D. |
$2,789 |
| 247. |
Refer to the Scrubs Problem and start with the original information. At the optimal solution, how many numbers of hours were spent packing the scrubs? |
| A. |
98 |
| B. |
100 |
| C. |
78 |
| D. |
85 |
| Sky Pharmacy Problem |
| The Sky Pharmacy fills prescriptions for its patients. One patient requires exactly 3850 mg of medicine, which the pharmacy can fill using three different-sized vials (=bottles) of medicine: 50 mg, 150 mg, 400 mg. The prices are $7, $12, $23, respectively. What is the combination of vials needed to fill the patient's prescription at the lowest cost? Partial vials are not allowed. |
| 248. |
Refer to the Sky Pharmacy Problem and start with the original information. At the optimal solution, what is the minimum cost that the pharmacy needs to fill the client's prescription: |
| A. |
$233 |
| B. |
$235 |
| C. |
$237 |
| D. |
$239 |
| 249. |
Refer to the Sky Pharmacy Problem and start with the original information. At the optimal solution, what is the total price of 50 mg vials that the pharmacy needs to fill the client's prescription: |
| A. |
$12 |
| B. |
$14 |
| C. |
$16 |
| D. |
$18 |
| 250. |
Refer to the Sky Pharmacy Problem and start with the original information. At the optimal solution, how much vials of 150 mg does the pharmacy require to fulfill the clients prescription: |
| A. |
0 |
| B. |
1 |
| C. |
2 |
| D. |
3 |
| 251. |
Refer to the Sky Pharmacy Problem and start with the original information. At the optimal solution, how much vials of 400 mg does the pharmacy require to fulfill the clients prescription: |
| A. |
3 |
| B. |
5 |
| C. |
7 |
| D. |
9 |
| 252. |
Refer to the Sky Pharmacy Problem and start with the original information. At the optimal solution, what is the total price of 400 mg vial that the pharmacy needs to fill the client's prescription: |
| A. |
$207 |
| B. |
$209 |
| C. |
$211 |
| D. |
$213 |
| 253. |
Refer to the Sky Pharmacy Problem and start with the original information. If the clients requirement is increased to 5000 mg, then what is the minimum cost that pharmacy can incurred to fulfill the client's requirement: |
| A. |
$290 |
| B. |
$295 |
| C. |
$300 |
| D. |
$305 |
| 254. |
Refer to the Sky Pharmacy Problem and start with the original information. If the clients requirement is increased to 5000 mg, then how much vials of 150 mg does the pharmacy requires to fulfill the client's prescription: |
| A. |
1 |
| B. |
2 |
| C. |
3 |
| D. |
4 |
| 255. |
Refer to the Sky Pharmacy Problem and start with the original information. If the clients requirement is increased to 5000 mg, then how much vials of 400 mg does the pharmacy requires to fulfill the client's prescription: |
| A. |
8 |
| B. |
10 |
| C. |
12 |
| D. |
14 |
| 256. |
Refer to the Sky Pharmacy Problem and start with the original information. If the clients requirement is increased to 5000 mg, then how much vials of 50 mg does the pharmacy requires to fulfill the client's prescription: |
| A. |
0 |
| B. |
1 |
| C. |
2 |
| D. |
3 |
| 257. |
Refer to the Sky Pharmacy Problem and start with the original information. If the clients requirement is increased to 4500 mg, then how many vials of 150 mg does the pharmacy requires to fulfill the client's prescription: |
| A. |
6 |
| B. |
4 |
| C. |
2 |
| D. |
0 |
| Sports Shoes Problem |
| A manufacturer of sports shoes produces shoes for both adults and kids. The production process has two steps: fabrication and finishing. The fabrication capacity (in number of pairs per day) is 50 for adult shoes and 55 for kids shoes. The finishing capacity for adult shoes is 40 pairs per day and for kids shoes is 60 pairs per day. 25 pairs of each type have to be produced, but adult shoes cannot be more than twice the number of kids shoes. Profits are $75 per pair for adult shoes and $50 for kids shoes. How many pairs of each kind of shoes should be produced to maximize profits? |
| 258. |
Refer to the Sports Shoes Problem and start with the original information. At the optimal solution, how many adult shoes are produced? |
| A. |
55 |
| B. |
40 |
| C. |
45 |
| D. |
35 |
| 259. |
Refer to the Sports Shoes Problem and start with the original information. At the optimal solution, what are the total profits? |
| A. |
4525 |
| B. |
$3,240 |
| C. |
$5,750 |
| D. |
$4,360 |
| 260. |
Refer to the Sports Shoes Problem and start with the original information. At the optimal solution, how many more adult shoes can be fabricated? |
| A. |
40 |
| B. |
0 |
| C. |
50 |
| D. |
10 |
| 261. |
Refer to the Sports Shoes Problem and start with the original information. At the optimal solution, what are the profits earned from selling kids shoes? |
| A. |
$2,750 |
| B. |
$2,500 |
| C. |
$3,750 |
| D. |
$2,150 |
| 262. |
Refer to the Sports Shoes Problem and start with the original information. At the optimal solution, how many more kids shoes can be finished? |
| A. |
0 |
| B. |
10 |
| C. |
5 |
| D. |
30 |
| 263. |
Refer to the Sports Shoes Problem and start with the original information. At the optimal solution, how many kids shoes are produced? |
| A. |
20 |
| B. |
55 |
| C. |
50 |
| D. |
35 |
| 264. |
Refer to the Sports Shoes Problem and start with the original information. What are the total profits when the capacity of fabrication process is increased 10 units each? |
| A. |
$5,750 |
| B. |
$4,750 |
| C. |
$5,250 |
| D. |
$6,000 |
| 265. |
Refer to the Sports Shoes Problem and start with the original information. How many kids shoes are produced when the capacity of fabrication process is increased 10 units each? |
| A. |
55 |
| B. |
60 |
| C. |
40 |
| D. |
45 |
| 266. |
Refer to the Sports Shoes Problem and start with the original information. How many more kids shoes can be fabricated when the capacity of fabrication process is increased 10 units each? |
| A. |
0 |
| B. |
60 |
| C. |
5 |
| D. |
65 |
| 267. |
Refer to the Sports Shoes Problem and start with the original information. The profits earned from both kids shoes and adults shoes is same when the capacity of fabrication process is increased 10 units each? |
| A. |
This is TRUE |
| B. |
This is FALSE |
| Sun City Store Builders Problem |
| Sun City Retail plans on building 12 new stores in a city. The company will build these stores in one of three types at each location: a convenience store, standard store, and services store. The convenience store requires $8 million to build and 20 employees to operate. The standard store requires $5 million to build and 15 employees to operate. The services store requires $10 million to build and 40 employees to operate. The company can fund upto $80 million for construction, and a maximum of 250 employees to staff the stores. On the average, the convenience store nets $1.5 million annually, the standard store nets $1.25 million annually, and the services store nets $2 million annually. How many of each should they build to maximize revenue? |
| 268. |
Refer to the Sun City Store Builders Problem and start with the original information. At the optimal solution, what is the maximum revenue the company can make by building new stores: |
| A. |
$17.25 M |
| B. |
$17.50 M |
| C. |
$18.00 M |
| D. |
$18.25 M |
| 269. |
Refer to the Sun City Store Builders Problem and start with the original information. At the optimal solution, what is the revenue the company makes by building Convenience stores: |
| A. |
$3.50 M |
| B. |
$4.50 M |
| C. |
$5.50 M |
| D. |
$6.50 M |
| 270. |
Refer to the Sun City Store Builders Problem and start with the original information. At the optimal solution, what is the revenue the company makes by building Standard stores: |
| A. |
$8.25 M |
| B. |
$8.50 M |
| C. |
$8.75 M |
| D. |
$9.00 M |
| 271. |
Refer to the Sun City Store Builders Problem and start with the original information. At the optimal solution, what is the revenue the company makes by building services stores: |
| A. |
$1.00 M |
| B. |
$2.00 M |
| C. |
$3.00 M |
| D. |
$4.00 M |
| 272. |
Refer to the Sun City Store Builders Problem and start with the original information. At the optimal solution, how many employees are required in total for Convenience store: |
| A. |
60 |
| B. |
70 |
| C. |
80 |
| D. |
90 |
| 273. |
Refer to the Sun City Store Builders Problem and start with the original information. At the optimal solution, how many employees are required in total for Standard stores: |
| A. |
95 |
| B. |
105 |
| C. |
110 |
| D. |
120 |
| 274. |
Refer to the Sun City Store Builders Problem and start with the original information. At the optimal solution, how many employees are required in total for services store: |
| A. |
40 |
| B. |
60 |
| C. |
80 |
| D. |
100 |
| 275. |
Refer to the Sun City Store Builders Problem and start with the original information. At the optimal solution, how many employees have been employed for the construction of buildings: |
| A. |
245 |
| B. |
250 |
| C. |
255 |
| D. |
260 |
| 276. |
Refer to the Sun City Store Builders Problem and start with the original information. If the company is looking to build 15 buildings, then what is the maximum revenue that the company can make: |
| A. |
$19.00 M |
| B. |
$19.50 M |
| C. |
$20.00 M |
| D. |
$20.50 M |
| 277. |
Refer to the Sun City Store Builders Problem and start with the original information. If the company Is looking to build 15 buildings, then how many convenience store: |
| A. |
0 |
| B. |
2 |
| C. |
4 |
| D. |
6 |
| Texas Biscuits Problem |
| Texas Biscuits Factory produces two kinds of biscuits: Biscuit A and Biscuit B. The profits for each biscuit are $500 per ton of Biscuit A and $400 per ton of Biscuit B. Three processes - Blending, Shaping, Baking - are used to produce biscuits. The production of a ton of Biscuit A requires 3 hours of blending, 2 hours of shaping, and 2 hours of baking. The production of a ton of Biscuit B requires 4 hours of blending, 1 hour of shaping, and 2 hours of baking. The daily maximum running hours for each process is 15 hours for blending, 5 hours for shaping, and 11 hours for baking. What is the optimum product mix that will maximize Texas Biscuit's daily profits? (Product mix means the number of tons of Biscuit A and number of tons of Biscuit B). |
| 278. |
Refer to the Texas Biscuits Problem and start with the original information. At the optimal solution, what is the maximum profit that the company can earn by producing biscuits: |
| A. |
$1700 |
| B. |
$1800 |
| C. |
$1900 |
| D. |
$2000 |
| 279. |
Refer to the Texas Biscuits Problem and start with the original information. At the optimal solution, how much ton of biscuit A has been produced in order to maximize profit: |
| A. |
0 |
| B. |
1 |
| C. |
2 |
| D. |
3 |
| 280. |
Refer to the Texas Biscuits Problem and start with the original information. At the optimal solution, how much tons of biscuit B have been produced in order to maximize profits: |
| A. |
0 |
| B. |
1 |
| C. |
3 |
| D. |
5 |
| 281. |
Refer to the Texas Biscuits Problem and start with the original information. At the optimal solution, what is the total profit that has been earned by producing biscuit A: |
| A. |
$200 |
| B. |
$300 |
| C. |
$400 |
| D. |
$500 |
| 282. |
Refer to the Texas Biscuits Problem and start with the original information. At the optimal solution, what is the total profit that has been earned by producing biscuit B: |
| A. |
$1200 |
| B. |
$1400 |
| C. |
$1500 |
| D. |
$1700 |
| 283. |
Refer to the Texas Biscuits Problem and start with the original information. At the optimal solution, how much total blending hours has been utilized by producing biscuit A: |
| A. |
1 |
| B. |
3 |
| C. |
5 |
| D. |
7 |
| 284. |
Refer to the Texas Biscuits Problem and start with the original information. At the optimal solution, how much total blending hours has been utilized by producing biscuit B: |
| A. |
8 |
| B. |
10 |
| C. |
12 |
| D. |
14 |
| 285. |
Refer to the Texas Biscuits Problem and start with the original information. At the optimal solution, what is the total shaping hours required for producing both kinds of biscuits: |
| A. |
1 |
| B. |
3 |
| C. |
5 |
| D. |
7 |
| 286. |
Refer to the Texas Biscuits Problem and start with the original information. At the optimal solution, which of the following is the binding constraint in producing the biscuits: |
| A. |
Blending |
| B. |
Shaping |
| C. |
Baking |
| D. |
Both A&B |
| 287. |
Refer to the Texas Biscuits Problem and start with the original information. At the optimal solution, how much total tons of both kinds of biscuit do the company needs to manufacture in order to get maximum profit: |
| A. |
1 |
| B. |
2 |
| C. |
3 |
| D. |
4 |
| Toy Factory Problem |
| A toy factory plans to produce three kinds of toys: A, B, and C. Producing each toy requires three steps: production, assembly, and testing. For each unit of Toy A, it takes 4 hours for production, 4 hours for assembly, 5 hours for testing. For each unit of Toy B, it takes 4 hours, 5 hours and 2 hours; and for each unit of Toy C, it takes 2 hours, 5 hours, and 6 hours respectively. The factory has 300 production hours, 450 assembly hours, and 350 hours for testing. The profits for toys are $55 for Toy A, $45 for Toy B, and $65 for C. How many units of A, B and C toys should be produced to maximize profits? |
| 288. |
Refer to the Toy Factory Problem and start with the original information. At the optimal solution, what are the maximum profits? |
| A. |
$4,920.00 |
| B. |
$4,650.00 |
| C. |
$5,000.00 |
| D. |
$4,950.00 |
| 289. |
Refer to the Toy Factory Problem and start with the original information. At the optimal solution, how many units of Toy A are produced? |
| A. |
18 |
| B. |
10 |
| C. |
65 |
| D. |
48 |
| 290. |
Refer to the Toy Factory Problem and start with the original information. At the optimal solution, what are the profits from Toy B? |
| A. |
$2,356.00 |
| B. |
$3,560.00 |
| C. |
$2,160.00 |
| D. |
$2,210.00 |
| 291. |
Refer to the Toy Factory Problem and start with the original information. At the optimal solution, how many assembly hours were spent on Toy C? |
| A. |
156 |
| B. |
240 |
| C. |
450 |
| D. |
170 |
| 292. |
Refer to the Toy Factory Problem and start with the original information. At the optimal solution, how many units of Toy C are produced? |
| A. |
34 |
| B. |
28 |
| C. |
75 |
| D. |
89 |
| 293. |
Refer to the Toy Factory Problem and start with the original information. What is the maximum profits, if the productions hours available is increased by 50%? |
| A. |
$4,595.00 |
| B. |
$5,000.00 |
| C. |
$4,650.00 |
| D. |
$4,500.00 |
| 294. |
Refer to the Toy Factory Problem and start with the original information. How many units of Toy C are produced, if the productions hours available is increased by 50%? |
| A. |
45 |
| B. |
38 |
| C. |
0 |
| D. |
48 |
| 295. |
Refer to the Toy Factory Problem and start with the original information. If the productions hours available is increased by 50%, then the no of units of Toy A and Toy B produced is equal? |
| A. |
This is TRUE |
| B. |
This is FALSE |
| 296. |
Refer to the Toy Factory Problem and start with the original information. At the optimal solution, how many units of toys are produced? |
| A. |
92 |
| B. |
88 |
| C. |
100 |
| D. |
76 |
| 297. |
Refer to the Toy Factory Problem and start with the original information. At the optimal solution, which of the following is not completely utilized? |
| A. |
Production hours available |
| B. |
Assembly hours available |
| C. |
Testing hours available |
| D. |
None of the above |
sri999
Assignment1stats.xlsx
