e plan to meet this demand given this additional information: A level production rate of 1000 units per month can be used. Backorders are allowed, and they are charged at the rate of $8 per unit per month. Inventory holding costs are $1 per unit per month based on maximum inventory. Determine the cost of this plan if regular time cost is $20 per unit, beginning inventory is zero, and initial backlog from previous plan is 100.

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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manager has prepared a forecast of expected aggregate demand for the next six months. Develop an aggregate plan to meet this demand given this additional information: A level production rate of 1000 units per month can be used. Backorders are allowed, and they are charged at the rate of $8 per unit per month. Inventory holding costs are $1 per unit per month based on maximum inventory. Determine the cost of this plan if regular time cost is $20 per unit, beginning inventory is zero, and initial backlog from previous plan is 100. 

Month                                    Forecast

1                                             800

2                                             100

3                                             1200

4                                             1100

5                                             1000

6                                             900

a. Prepare an aggregate plan.
b. Prepare an aggregate plan if the management decided to switch to chase strategy. Knowing that overtime and subcontracting are then allowed at $30 and $50.
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