Question
Wormwood, Ltd., produces a variety of furniture products. The planning committee wants to prepare an aggregate plan for the next six months using the following
Wormwood, Ltd., produces a variety of furniture products. The planning committee wants to prepare an aggregate plan for the next six months using the following information:
MONTH | ||||||
1 | 2 | 3 | 4 | 5 | 6 | |
Demand | 160 | 150 | 160 | 180 | 170 | 140 |
Capacity | ||||||
Regular | 150 | 150 | 150 | 150 | 160 | 160 |
Overtime | 10 | 10 | 0 | 10 | 10 | 10 |
Cost Per Unit | ||
Regular time | $ | 50 |
Overtime | 75 | |
Subcontract | 80 | |
Inventory, per period | 4 | |
Subcontracting can handle a maximum of 10 units per month. Beginning inventory is zero. Develop a plan that minimizes total cost. No back orders are allowed. Regular production and overtime production can be less than capacity in any month. (Negative amounts should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Omit the "$" sign in your response.)
Period | 1 | 2 | 3 | 4 | 5 | 6 | Total |
Forecast | 160 | 150 | 160 | 180 | 170 | 140 | 960 |
Output | |||||||
Regular | |||||||
Overtime | |||||||
Subcontract | |||||||
Output- Forecast | |||||||
Inventory | |||||||
Beginning | |||||||
Ending | |||||||
Average | |||||||
Backlog | |||||||
Costs: | |||||||
Regular | $ | $ | |||||
Overtime | |||||||
Subcontract | |||||||
Inventory | |||||||
Backlog | |||||||
Total | $ | $ | |||||
Subcontracting can handle a maximum of 10 units per month. Beginning inventory is zero. Develop a plan that minimizes total cost. No back orders are allowed. Regular production and overtime production can be less than capacity in any month. (Negative amounts should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Omit the "$" sign in your response.) 5 170 Total 960 160 150 160 180 140 Period Forecast Output Regular Overtime Subcontract Output - Forecast Inventory Beginning Ending Average Backlog Costs: Regular Overtime Subcontract Inventory Backlog Total
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