Problem Data Cost data Regulartime labor cost per hour $10.00 Overtime labor cost per hour $15.00 Subcontracting cost per unit (labor only) $84.00 Holding cost per unit per period $10.00 Back-order cost per unit per period $20.00 Hiring cost per employee $600.00 Firing cost per employee $450.00 Capacity data Beginning workforce 210 employees Beginning inventory 400 units Labor standard per unit 6 hours Regular time available per period 160 hours Overtime available per period 32 hours Subcontracting maximum per period 1000 units Subcontracting minimum per period 500 units Demand data Period 1 6000 units Period 2 4800 units Period 3 7840 units Period 4 5200 units Period 5 6560 units Period 6 3600 units 1. The BackPack Company produces a line of backpacks. The manager, Jill Nicholas, is interested in using a level aggregate plan. Inventories and back orders will be used to handle demand uctuations. She has asked you to develop such a plan. (a) Calculate the aggregate production rate. (b) Calculate the appmpriate workforce given the aggregate production rate. (c) Show what would happen if this plan were implemented. ((1) Calculate the costs of this plan. (e) Evaluate the plan in terms of cost, customer service. operations, and human resources. 2. Jill has decided that the BackPack Company must have very good customer service. She has asked you to develop a level aggregate plan using inventories but not back orders. All demand must be met each period. You must: (a) Calculate the aggregate production rate. (b) Calculate the appropriate workforce given the aggregate production rate. (0) Show what would happen if this plan were implemented. ((1) Calculate the costs of this plan. (e) Evaluate the plan in terms of cost, customer service, operations, and human resources. Draper Tax Company Problem Data Cost data Regular-time labor cost per hour Overtime labor cost per hour Temporary worker cost per hour Hiring cost per permanent worker Firing cost per permanent worker Back-order cost Capacity data Beginning workforce $25.00 $37.50 $40.00 $2000.00 $1 200.00 $500.00 12 employees Labor standard per service 12 hours Regular-time hours per period 40 hours Overtime hours per period 8 hours Demand Data Week 1 48 clients Week 4 40 clients Week 2 36 clients Week 5 38 clients Week 3 50 clients Week 6 48 clients 8. Calculate the size of the workforce needed for the company to meet average weekly demand. 9. Develop a level aggregate plan for the Draper Tax Campany if back orders are permitted. (a) Show what would happen if this plan were implemented. (b) Calculate the costs associated with this plan. (c) Evaluate the plan in terms of cost, customer service, operations, and human resources