We are formulating an aggregate plan for an 8-quarter period. Our demand forecast is as follows:
Quarter 1 2 3 4 5 6 7 8
Forecast 200 340 390 300 240 360 440 320
We will enter Quarter 1 with 0 units in inventory and the capacity to produce 200 units per quarter without overtime. Increasing regular-time capacity has been estimated to cost $30 per unit. Reducing regular-time capacity has been estimated to cost $20 per unit. Overtime production costs $10 per unit.
Carrying inventory (or having backorders) is not permitted. By policy, overtime production is limited to a maximum of 30 units per quarter. Idle time (i.e., having more regular-time capacity than is necessary) is not permitted.
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