Question: Consider the following linear programming model: Maximize Z = 10x1 + 20x2 subject to -x1 + 2x2 15 x1 + x2 12 5x1 + 3x2

Consider the following linear programming model:

Maximize Z = 10x1 + 20x2

subject to

-x1 + 2x2 15

x1 + x2 12

5x1 + 3x2 45

x1, x2 0

In one single graph, show the feasible region

Determine the corner feasible points (show your calculations)

What is the optimal solution to the problem?

What is the optimal objective value?

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