Question: Given the following linear optimization problem Maximize 10x + 20y Subject to x + y < 50 2x + 3y < 120 x > 10

Given the following linear optimization problem

Maximize 10x + 20y

Subject to

x + y < 50

2x + 3y < 120

x > 10

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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