Question: A production manager needs to develop a production schedule to meet the following demand: Period 1 2 3 4 5 6 Demand 600 600 800

A production manager needs to develop a production schedule to meet the following demand:

Period123456
Demand60060080010001200600


Productions costs are as follows: (a) regular time: $3 per unit. (b) over-time: $5 per unit. (c) subcontract: $7 per unit. (d) Inventory carrying cost = $2 per unit per period (e) Back-order costs = $5 per unit per period.

Suppose some workers have retired, and the regular production rate can be only 700 units per period. Further, no subcontracting is allowed. However, it is possible to schedule production on an over-time basis.

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