Question: Question # 1. Consider the following linear programming model: Maximize Z = 10x1 + 20x; subject to -X1 + 2X2 5 15 X1 + X2

Question # 1. Consider the following linear programming model: Maximize Z = 10x1 + 20x; subject to -X1 + 2X2 5 15 X1 + X2 5 12 5x1 + 3X2 2 45 X1,X2 Z 0 a. [0.8 Mark] In one single graph, show the feasible region. I). [0.7 Mark] Determine the corner feasible points (show your calculations) c. [0.3 Mark] What is the optimal solution to the problem? d. [0.2 Mark] What is the optimal objective value

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