Question: Solve the linear programming problem by sketching the region and labeling the vertices, deciding whether a solution exists, and then finding it if it does

Solve the linear programming problem by sketching the region and labeling the vertices, deciding whether a solution exists, and then finding it if it does exist. (If an answer does not exist, enter DNE.)

MaximizeP = 5x + 3y

Subject to

2x + y 90

x + y 50

x + 2y 90

x 0,y 0

P =

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