1. a. Suppose the profit for Speedhawks is changed to 80. Does the optimal solution change? Explain your answer. If the profit for Speedhawks is changed to 80. The optimal solution does not change because the change of increment from 70 to 80 (80 - 70 = 10) is within the allowable increase 45 (10 < 45) b. If the optimal solution does not change, does the value of the objective function at the optimal solution change? If so, calculate it. If it does not, explain why it does not. If the optimal solution does not change, the value of the objective function at the optimal solution changes. The coefficient of the objective function change: 10 (28) = 280. c. Keeping the original values of the profit function, but now changing the profit for Classys from 110 to 100. Does the optimal solution change? Explain your answer. d. If the optimal solution does not change, does the value of the objective function at the optimal solution change? If so, calculate it. If it does not, explain why it does not