Given the projected demands for the next six months, prepare an aggregate plan that uses inventory, regular time and overtime, and backorders. The plan must wind up with no units in ending inventory in Period 6. Regular time capacity is 150 units per month. Overtime capacity is 20 units per month. Overtime cost is $30 per unit, backorder cost is $20 per unit, inventory holding cost is $5 per unit, regular time cost of $20 per unit, and beginning inventory is zero. Month Forecast 180 170 140 150 130 150 do 1. Explain Materials requirement planning and state its importance in production planning (20points). 2. What is a bill of material (BOM) (10points)? 3. 75. Develop a material requirements plan for end item P and its components, given the tree below. Assume that all lead times are one week, and that lot-for-lot ordering is used except for item F, which is ordered in multiples of 400 units. One hundred units of P should be available at the start of week 4 and at the start of week 8. Beginning inventories are: 20 P, 100 A, and 200 F. Scheduled receipts are: 800 F at the start of week 1. A(2) B(3) D(4) C(2) F(2) F(2) (70points)