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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.)

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C=10x+30y

Subject to

2x+ 5y20

x0,y0

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