Question: . Consider the Linear Program: MAXIMIZE Z = 7X 1 + 10X 2 Subject to: 2X 1 + 3X 2

. Consider the Linear Program: MAXIMIZE Z = 7X1 + 10X2

Subject to: 2X1 + 3X2 <= 120

5X1 + 4X2 80

2X1 + X2 <= 64

X1 and X2 >= 0

(a) Calculate the slack or surplus (indicate which it is) in each of the three resource constraints at the optimal solution.

(b) Calculate the shadow price for each of the three constraints.

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