Q. A linear program has the objective of maximizing profit = 12x + 8y. The maximum profit is $8000. Using a computer we find that the upper bound for profit x is 20 and the lower bound is 9. Discuss the changes to the optimal solution (values of the variables and the profit) that would occur if the profit on x were increased to $15. Explain how would the optimal solution change if the profit on x were increased to $25?