A company that makes industrial engines wants to prepare a master production schedule for November and December. These will be evenly distributed over the four weeks in each month: 50 per week in June and 60 per week in July. Assume it is now the beginning of week 1 . The customer orders are 70 units for week 1,40 for week 2,20 for week 3,10 for week 4 , and 10 for week 6 . Inventory on hand is 20 (Beginning Inventory is 20). Use the MPS rule of ordering production when projected on-hand inventory would be negative without production. Suppose that the economic production quantity is 80 engines. Please prepare MPS table (like the MPS table given on page 18 of lecture 5 notes). Question 4 (20 points) A component used in a manufacturing facility is ordered from an outside supplier. The time-phased net requirements for the component over the next 7 weeks are 5, 25, 17, 15, 25,13 , and 27. Assume a holding cost of $1.5 per week and a setup cost of $42. 1) Determine the order policy for this item over the next 7 weeks based on Silver-Meal heuristic. 2) Assume there is a capacity constraint to the lot sizing a. Suppose that the maximum order size is 15 per week. Does there exist a feasible solution? b. Suppose that the maximum order size is 25 per week. Use lot-shifting technique to obtain a feasible solution (without using holding and setup cost). c. Suppose that the maximum order size is 25 per week. Improve the solution obtained in Part (b)