Linear programming to maximize a function
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A. Maximize Z = 4x1 + 3x2
Subject to
Material 6x1 + 4x2 < 48 lb
Labor 4x1 + 8x2 < 80 hr
x1, x2 > 0
b. Maximize Z = 2x1 + 10x2
Subject to
Durability 10x1 + 4x2 > 40 wk
Strength 1x1 + 6x2 > 24 psi
Time 1x1 + 2x2 < 14 hr
x1, x2 > 0
c. Maximize Z= 6A + 3B (revenue)
Subject to
Material 20A + 6B < 600 lb
Machinery 25A + 20B < 1,000 hr
Labor 20A + 30B < 1,200 hr
A, B > 0
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