The vertices of a feasible region are at (0,10) , (0,0) , (20,0) , and (10,10) At which vertex is the maximum profit for the objective function P=20⁢x+18⁢y achieved?

Evaluate P = 20x + 18y at each vertex. At (10, 10), P = 380; at (0, 10), P = 180; at (0, 0), P = 0; and at (20, 0), P = 400. The largest profit is 400, achieved at (20, 0), so the correct choice is D.

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