Cost data Regular time labor cost per hour $10 Overtime time labor cost per hour $15 Subcontracting cost per unit (labor only) $80 Back order cost per unit per period $20 Inventory holding cost per unit per period $10 Hiring cost per employee $500 Firing cost per employee $400 Capacity data Beginning workforce 40 employees Beginning inventory O units Beginning back orders O units Production standard per unit (hours) 2 hours of labor per unit Regular time available per period (hours) 160 hours per period per employee Overtime time available per period (hours) 30 hours per period per employee Demand data Period 1 Period 5 3,920 units 2,480 units 2,200 units 3,800 units 4,340 units Period 2 Period 6 Period 3 Period 7 4,820 units Period 4 3,280 units Period 8 4,600 units 1. Develop a level aggregate plan using inventory and back orders (data given above). (a) What is the production rate per period? (b) No overtime is to be used. What is the required workforce level and how many workers are hired or fired at the beginning of period 1? (c) What is the maximum ending inventory and when does it occur? (d) What is the maximum amount of back orders and when does it occur? (e) What is the total cost? (f) What is the cost per unit