5 finance questions
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b14a_tea_3.1-3.3-2.pdf
Bus 14A Textbook Exercises and Answers
Finite Mathematics and Calculus with Applications – 10th edition
By Lial, Greenwell, and Ritchey
Complete:
3.1 24, 28, 30, 40, 42
3.2 2a, 6a, 10, 12
3.3 8, 14, 22
Check your answers:
3.1 24. Unbounded Graph
28. Bounded Graph
30. Bounded Graph
40. a) b)
0,0
206
8 2
1
yx
yx
yx
Glazed Unglazed Maximum
Number Made x y
Time of Wheel 1/2 1 8
Time in Kiln 1 6 20
40. c) Yes, 5 glazed and 2 unglazed planters can be made, since the point (5,2) lies within the
feasible region. No, 10 glazed and 2 unglazed planters cannot be made, since the point (10,2) lies
outside the feasible region.
42. a)
000,10
5000
3000
yx
y
x
b) Graph
3.2 2. a) The maximum value is 34 at (2,8). The minimum value is 8 at (4,1).
6. a) The minimum value is 10 at (0,10). No maximum. Feasible region is unbounded.
10. Maximize yxz 810 Subject to:
200
10
20045
10032
y
x
yx
yx
The maximum value is 400 when x = 200/7 and y = 100/7, as well as when x = 40 and y = 0 and
at all points in between.
12. Maximize yxz 54 Subject to:
0,0
12
1501020
100510
yx
yx
yx
yx
Since the region is unbounded, there is no maximum value, hence no solution.
3.3 8. Minimize yxz 1012 Subject to:
0,0
30024
80
75
100
yx
yx
y
x
yx
Ship 50 refrigerators to Warehouse A and 50 to Warehouse B for a minimum cost of $1100.
14. a) Maximize yxz 500350 Subject to:
0,0
260044
9002
360075
yx
yx
yx
yx
Maximum profit is $255,000 when 300 Flexscan sets and 300 Panoramic I sets are produced.
14. b) A maximum profit of $301,250 when 475 Flexscan and 175 Panoramic I sets are produced.
14. c) In the solution to part (a), 300 Flexscan and 300 Panoramic I sets are produced. There are
2600 – 2400 or 200 unused hours in testing and packing.
14. c) In the solution to part (b), 475 Flexscan and 175 Panoramic I sets are produced. There are
900 – 825 or 75 unused hours in the cabinet shop.
22. Minimize yxz 32 Subject to:
0,0
842
1035
yx
yx
yx
The minimum value is 46/7 ≈6.57 units of energy when 8/7 units of species I and 10/7 units of species II will meet the daily food requirements with the least expenditure of energy. However,
a predator probably can catch and digest only whole numbers of prey. This problem shows that
it is important to consider whether a model produces a realistic answer to a problem.
