Question: John, the operations manager, is developing an aggregate plan of the home-networking products for the coming six months. He has obtained a demand forecasts for

John, the operations manager, is developing an aggregate plan of the home-networking products for the coming six months. He has obtained a demand forecasts for the planning horizon as shown below. The department now has 60 full-time workers, each of whom can produce 2 units per day. They work for eight hours per day and the labour cost is $5 per hour. The material cost is $100 per unit and the inventory cost is $1.5 per unit per month. The subcontract cost is $130 per unit (including the material cost) and stockout cost is $310 per unit. John is considering a plan that would firing SIX workers before start working in January and then keep the same workforce level, for any excessive demand, he will subcontract. The hiring and firing cost for each worker is $150 and $200 respectively. Determine the total cost of this plan.

Month

Jan

Feb

Mar

Apr

May

Jun

Total

Demand

2500

3600

3400

2600

2700

3200

18000

Working days

22

19

21

21

22

20

If John is allowed to use Overtime to produce the excessive demand with overtime labor cost of $7.0/hour for each worker, should he choose overtime or subcontract? Why?

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