Suppose the feasible region has four corners at these points: (0, 0), (8, 0), (0, 12), and (4, 8). If the profit formula is P = $2x + $4y, what is the maximum profit possible?
A) $16
B) $40
C) $48
D) $54

Question

Quizplus · Accepted Answer

To find the maximum profit, we need to evaluate P at each of the four corner points:

P(0,0) = $2(0) + $4(0) = $0
P(8,0) = $2(8) + $4(0) = $16
P(0,12) = $2(0) + $4(12) = $48
P(4,8) = $2(4) + $4(8) = $40

Therefore, the maximum profit possible is $48, which occurs at point (0,12). Thus, the best choice is C.

Suppose the Feasible Region Has Four Corners at These Points