Suppose that a maximization LP problem has corners of (0,0), (10,0), (5,5), and (0,7). If profit is given to be X+ 2Y what is the maximum profit the company can earn?
A) $0
B) $10
C) $15
D) $14
E) None of the above or Unable to determine

Question

Quizplus · Accepted Answer

To find the maximum profit, we need to determine the corner point(s) that maximize the profit function X+2Y.

Plugging in the coordinates of each corner point:

- (0,0): Profit = 0
- (10,0): Profit = 10 + 2(0) = 10
- (5,5): Profit = 5 + 2(5) = 15
- (0,7): Profit = 0 + 2(7) = 14

Therefore, the maximum profit is obtained at the corner point (5,5), which gives a profit of $15. Thus, the answer is C.

Suppose That a Maximization LP Problem Has Corners of (0,0)