Bussiness analytic

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Problem 1

You are required to you the optimization template as demonstrated in class.
DV1 DV2
Unit Profit $24.00 $40.00
DVs 0 333.3333333333
Max Profit $13,333.33
Used RHS
C1 18 12 4000 ≤ 4000
C2 6 10 3333.3333333333 ≤ 3500
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1. Name the decision variables: The number of Speed King I detectors to produce (X). The number of Speed King II detectors to produce (Y). 2. What is the optimal values of the decision variables: X= 0 Y = 333.33 3. What is the optimal objective function: 24x+40y = 13,333.33

Problem 2

You are required to you the optimization template as demonstrated in class.
DV1 DV2
Unit Profit $225.00 $320.00
DVs 40 0
Max Profit $9,000.00
Used RHS
C1 70 60 2800 ≤ 5000
C2 18 0 ≤ 750
C3 10 15 400 ≤ 400
⸽
always out 0
do not leave
blank
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1. Name the decision variables: The number of standard desks to produce (X). The number of deluxe desks to produce (X). 2. What is the optimal values of the decision variables: x= 40 y= 0 3. What is the optimal objective function: 225X+320y = 9000

Problem 3

You are required to you the optimization template as demonstrated in class.
DV1 DV2 DV3 ...
Unit Profit $35.00 $75.00 $100.00
DVs 40.5797101449 0 6.5217391304
Max Profit $2,072.46
Used RHS
C1 0.5 2 0.4 22.8985507246 ≤ 50
C2 0.75 2 3 50 ≤ 50
C3 1 1 1 47.1014492754 ≤ 50
C4 2.25 5 4.4 120 ≤ 120
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1. Name the decision variables: Quantity of sling chairs produced each month (S). Quantity of Adirondack chairs produced each month(A) Quantity of hammocks produced each month (H) 2. What is the optimal values of the decision variables: S=41 A= 0 H= 7 3. What is the optimal objective function: 35S + 75A + 100H = 2073

Problem 4

You are required to you the optimization template as demonstrated in class.
India China California
Unit Profit $0.45 $0.40 $0.30
DVs 225 350 0
Max Profit $241.25
Used RHS
Premium 40 30 40 19500 ≤ 20000
Duck Gray 20 50 40 22000 ≤ 22000
Breakfast 40 20 20 16000 ≤ 16000
⸽
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1. Name the decision variables: The number of pounds of Indian tea leaves used in the blend (x). The number of pounds of Chinese tea leaves used in the blend (y). The number of pounds of California tea leaves used in the blend (z). 2. What is the optimal values of the decision variables: x= 225 y= 350 z= 0 3. What is the optimal objective function: 0.45x+0.4y+0.3z = 241.25

max

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Problem 5

Objective Function Table
$5.00 $5.00 Value
5.6 4.8 $52.00
0 9 $45.00
8 0 $40.00
$40.00
$45.00
$52.00
Questions Below ↓
Point (3,3) in F.R.? 30
Point (7,3) in F.R.? 50
Point (0,7) in F.R.? 35
3 3
7 3
0 7
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Use the text box for you answer. Type your algebra steps below. Solve algebraically, showing ALL steps required to determine intercepts and for the solutions or “intersections” of the constraints: Equation 1 x intercept of the line , when y = 0, 3x = 36, x=36/3, => x -intercept = 12 (12,0) y intercept of the line when x = 0, 4y = 36 , y= 36/9=> y-intercept = 9 (0,9) Equation 2 x intercept of the line , when y = 0, 6x = 48,x=48/6, => x -intercept = 8 (8,0) y intercept of the line when x = 0, 3y = 48 , y= 48/3=> y-intercept = 16 (0,16) Equation 3 x intercept of the line , when y = 0, x = 7, => x -intercept = 7 Therefore, x=7 is a straight line equation Intersection 1. Intersection of line 1 and 2 3x+4y=36 6x+3y=48, dividing both sides by 3, 2x+y = 16, y = 16-2x subsitituting in the first equation 3x + 4 (16-2x) = 36, 3x+ 64-8x = 36 3x-8x = 36-64 = -28, -5x= -28, x= 5.6 x=5.6 , y = 16-2 (5.6) = 4.8, (5.6, 4.8) 2. Intersection of the lines 1 and 3  x = 7 Substituting in the first equation 4y = 36 - 3*7 = 15 y = 3.75 (7, 3.75) 3. Intersection of the lines 2 and 3 x = 7 3y = 48 - 6*7 = 6, y = 2 (7,2) The corners point is equivalent to the point where the points intersect

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