Question: You are given the following linear programming problem. Maximize Z 4x1 2x2, subject to 2x1 3x2 16 (resource 1) x1 3x2

You are given the following linear programming problem.

Maximize Z  4x1  2x2, subject to 2x1  3x2 16 (resource 1)

x1  3x2 17 (resource 2)

x1  3x2 5 (resource 3)

and x1  0, x2  0.

(a) Solve this problem graphically.

(b) Use graphical analysis to find the shadow prices for the resources.

(c) Determine how many additional units of resource 1 would be needed to increase the optimal value of Z by 15.

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