A linear program has the objective of maximizing profit = 12X + 8Y. The maximum profit is $8,000. Using a computer we find the upper bound for profit on X is 20 and the lower bound is 9. Discuss the changes to the optimal solution (the values of the variables and the profit) that would occur if the profit on X were increased to $15. How would the optimal solution change if the profit on X were increased to $25?
Solutions to linear programming andsensitivity analysis are provided with details explanations.