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

2. Given the following linear optimization problem

Maximize 10x + 20y

Subject to

x + y 2. Given the following linear optimization 50

2x + 3y 2. Given the following linear optimization 120

x 2. Given the following linear optimization 10

x, y 2. Given the following linear optimization 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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