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Solve the linear programming problem by sketching the region and labeling the vertices, deciding whether a...

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.)

Minimize C = 10x + 50y

Subject to

     
2x + 5y ≥ 20
x ≥ 0,  y ≥ 0

C =

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