An end item's demand forecasts for the next 3 weeks are 34 units, followed by forecasts of 32 units for weeks 4 and 5, forecasts of 36 units for weeks 6 and 7, and forecasts of 38 units for weeks 8 through 10. The current on-hand inventory is 73 units. The order policy is to produce in lots of 75. The booked customer orders for the item, starting with week 1, are \(35,37,32,41,31,29,31,30,42\), and 28 units. The lead time is 2 weeks. a) Develop an MPS for this end item. (20 points) b) The marketing department has received six orders for this item in the following sequence: Order 1 is for 4 units to be delivered in period 3 Order 2 is for 6 units to be delivered in period 4 Order 3 is for 12 units to be delivered in period 5 Order 4 is for 4 units to be delivered in period 6 Order 5 is for 15 units to be delivered in period 7 Order 6 is for 7 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)