Problem 6 ( 30 points) An end item's demand forecasts for the next 3 weeks are 28 units, followed by forecasts of 24 units for weeks 4 to 6 , and forecasts of 32 units for weeks 7 through 10 . The current onhand inventory is 65 units. The order policy is to produce in lots of 80 . The booked customer orders for the item, starting with week 1 , are 34,18,30,11,33,6,9,10,12, and 4 units. The lead time is 2 weeks. a) Develop an MPS for this end item. (25 points) b) The marketing department has received six orders for this item in the following sequence: Order 1 is for 40 units to be delivered in period 3 Order 2 is for 60 units to be delivered in period 4 Order 3 is for 40 units to be delivered in period 6 Order 4 is for 35 units to be delivered in period 3 Order 5 is for 20 units to be delivered in period 5 Order 6 is for 55 units to be delivered in period 9 Assuming that the prospective MPS you developed in part (a) does not change, which orders would you be able to accept based on the available to promise (ATP)? (5 points)