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Question: linear optimization feasible solutions extreme points objective function...

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Linear Optimization - feasible solutions, extreme points, objective function4 (4 points) Consider the following linear programming problem in standard form: Maximize z 2rı r2, subject to the constraints t25 (a) (2 points) Sketch the set of feasible solutions for this problem. Is this set bounded? (b) (2 points) Indicate all extreme points and compute their coordinates precisely. (c) (2 points) Evaluate the objective function at all extreme points to find an optimal solution. Note: In Part (c), ask yourself why one of the extreme points is an optimal solution. You may quote the Extreme Point Theorem.

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