answer the survey Quations .short 3 answers

Chapter 2 Practice Exercises--Solutions

2. a) Minimize Z = .05x1 + .03x2 (cost, $)

subject to

8x1 + 6x2 ≥ 48 (vitamin A, mg)

x1 + 2x2 ≥ 12 (vitamin B, mg)

x1,x2 ≥ 0

b)

10. 10. a) Minimize Z = 80x1 + 50x2 (cost, $) subject to

3x1 + x2 ≥ 6 (antibiotic 1, units)

x1 + x2 ≥ 4 (antibiotic 2, units)

2x1 + 6x2 ≥ 12 (antibiotic 3, units)

x1,x2 ≥ 0

b)

20.

34. a) Maximize Z = 30x1 + 70x2 (profit, $) subject to

4x1 + 10x2 ≤ 80 (assembly, hr)

14x1 + 8x2 ≤ 112 (finishing, hr)

x1 + x2 ≤ 10 (inventory, units)

x1,x2 ≥ 0

b)

36. a) Maximize Z = 9x1 + 12x2 (profit, $1,000s)

subject to

4x1 + 8x2 ≤ 64 (grapes, tons)

5x1 + 5x2 ≤ 50 (storage space, yd 3)

15x1 + 8x2 ≤ 120 (processing time, hr)

x1 ≤ 7 (demand, Nectar)

x2 ≤ 7 (demand, Red)

x1,x2 ≥ 0

b)