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Given the following linear programming problem Maximize 40x + 30y Subject to x + y < 80 3x + 2y < 180 2x + y

Given the following linear programming problem

Maximize 40x + 30y

Subject to

x + y < 80

3x + 2y < 180

2x + y > 20

x, y > 0

(a) Graph the constraints.

(b) Find the coordinates of each corner point of the feasible region

(c) Determine the optimal solution.

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