Question

Find the values of x and y that maximizes the objective function P=3X+2Y for the graph. what is the maximum value?

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Answer 1

Substitute in the 3 points to find the values.

P(0,8) = 3(0) + 2(8) = 16
P(5,4) = 3(5) + 2(4) = 15 + 8 = 23
P(9,0) = 3(9) + 2(0) = 27

Therefore (9,0) is the maximum value.