Suffolk Manufacturing produces three types of paneling from Pine and Spruce. The types of paneling are Western (X1), Old English (X2), and Colonial (X3). Each sheet must be cut and pressed. The resource requirements are given in the following linear programming formulation.
a. What is the marginal value of an additional pound of spruce? Over what range is this value valid?
b. What is the marginal value of an additional hour of cutting? Over what range is this value valid?
Maximize Z = 4X1 + 10X2 + 8X3 (profit, $)
ST 5X1 + 4X2 + 4X3\leq 200 (pine, lb)
2X1 + 5X2 + 2X3\leq 160 (spruce, lb)
1X1 + 1X2 + 2X3\leq 50 (cutting, hr)
2X1 + 4X2 + 2X3\leq 80 (pressing, hr)
X1 + X2 + X3\geq 0
Answers: 2
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Suffolk Manufacturing produces three types of paneling from Pine and Spruce. The types of paneling a...
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