Question: Given the following linear optimization problem Maximize 60x + 90y Subject to x + y 120 3x + y 180 x + y

Given the following linear optimization problem

Maximize 60x + 90y

Subject to
x + y ≤ 120
3x + y ≤ 180
x + y ≥ 40
x, y ≥ 0

(a) Graph the constraints and determine the feasible region.

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

(c) Determine the optimal solution and optimal objective function value.

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