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

please see the attached file.