Engineering Optimization: Theory and Practice, Fourth Edition

Problems 165

3.23 Maximizef=x+ 3 y

subject to

− 4 x+ 3 y≤ 12

x+y≤ 7

x− 4 y≥ 2

x≥ 0 , y≥ 0

3.24 Minimizef=x−^8 y

subject to

3 x+ 2 y≥ 6

x−y≤ 6

9 x+ 7 y≤ 108

3 x+ 7 y≤ 70

2 x− 5 y≥ − 35

x≥ 0 , y ≥ 0

3.25 Rework Problem 3.24 by changing the objective to Maximizef=x− 8 y.

3.26 Maximizef=x−^8 y

subject to

3 x+ 2 y≥ 6

x−y≤ 6

9 x+ 7 y≤ 108

3 x+ 7 y≤ 70

2 x− 5 y≥ − 35

x≥ 0 , yis unrestricted in sign

3.27 Maximizef=^5 x−^2 y

subject to

3 x+ 2 y≥ 6

x−y≤ 6