What combination of x and y will yield the optimum solution for this problem? Maximize Z = $3x + $15y; Subject to: (1)2x + 4y $\le$ 12 (2)5x + 2y$\le$ 10
A)x = 2,y = 0
B)x = 0,y = 0
C)x = 0,y = 3
D)x = 1,y = 5
E)x = 1,y = 3

Question

Quizplus · Accepted Answer

To find the optimum solution, substitute the values of x and y into the objective function Z = $3x + $15y and the constraints. Option C, x = 0, y = 3, maximizes Z while satisfying the constraints: (1) 2(0) + 4(3) ≤ 12, and (2) 5(0) + 2(3) ≤ 10. This yields Z = $45, the highest possible value.

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