Suppose that a maximization LP problem has feasible corners of (0,0), (5,0), and (0,5)

Psychology Mar 24, 2022

Suppose that a maximization LP problem has feasible corners of (0,0), (5,0), and (0,5). How many possible combinations of X and Y will yield the maximum profit if profit is given to be 5X+5Y?

2
1
0
Infinite
5

Expert Solution

Then evaluate the points to determine the maximum profit per points using the objective function Max Profit = 5X + 5Y

@point (0,0)

Max Profit = 5X + 5Y

Max Profit = 5(0) + 5(0)

Max Profit = 0

@point (5,0)

Max Profit = 5X + 5Y

Max Profit = 5(5) + 5(0)

Max Profit = 25

@point (0,5)

Max Profit = 5X + 5Y

Max Profit = 5(0) + 5(5)

Max Profit = 25

After getting the maximum profit per points, we can say that we have 2 possible combinations of X and Y at point (5,0) and (0,5) to maximize profit = 25

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