Answers to review questions for chapters 7 and 11

Linear Programming Practice Problems

1.    Wellbuilt company

Let x = # economy woodchippers

    y = # deluxe woodchippers

Maximize 12 x + 15 y

subject to

2x + 3y < 24

x + (1/2) y < 8

x, y > 0

2.    Bumper bolts and fender bolts

x = # bumper bolds

y = # fender bolts

maximize 2 x + y

subject to

y < 130

x < 120

x + y < 230

x, y > 0

3.    Natural habitat

x = # species 1

y = # species 2

maximize x + y

subject to

5 x + 6 y < 120

5 x + 4 y < 110

2 x + 3 y < 57

x, y > 0

Practice test - parts of Ch 7 and Ch 11

1.    Corner points are (0,2), (0,4), (4,2), (5,0), (2,0)

2.    x = # newspaper ads

y = # radio ads

maximize 6000 x + 8000y

subject to

x < 21

y < 28

100 x + 300 y < 6000

x, y > 0

3.    x = 2, y = 4, f = 22

4.    f = 33 x + 42 y

1.7 x + 3.4 y < 820

x + y < 316

x, y > 0

181 cord types (to nearest whole number)

135 cordless

5.    - 2.36 cents/day

+ 1.52 cents/day

6.    Shade from x=3 to x=6 and from x=11 to x=13

7.    Draw any function that decreases when x < 5 and increases when x > 5

8.    15

y    y = 4x + 10