Max200DRB + 280DRWs.t. 20DRB + 25DRW = 40000Steel available 40DRB + 100DRW = 120000Manufacturing minutes 60DRB + 40DRW = 96000Assembly minutes DRB DRW ?Y 0The Management Scientist solution is shown in Figure.THE MANAGEMENT SCIENTIST SOLUTION FOR THE DEEGAN INDUSTRIES PROBLEMa. What are the optimal solution and the total profit contribution?b. Another supplier offered to provide Deegan Industries with an additional 500 pounds of the steel alloy at $2 per pound. Should Deegan purchase the additional pounds of the steel alloy? Explain.c. Deegan is considering using overtime to increase the available assembly time. What would you advise Deegan to do regarding this option? Explain.d. Because of increased competition Deegan is considering reducing the price of model DRB such that the new contribution to profit is $175 per unit. How would this change in price affect the optimal solution? Explain.e. If the available manufacturing time is increased by 500 hours will the dual price for the manufacturing time constraint change?Explain.