Plan production for a four-month period: February through May. For February and March, you should produce to exact demand forecast. For April and May, you should use overtime and inventory with a stable workforce; stablemeans that the number of workers needed for March will be held constant through May. However, government constraints put a maximum of 5,000 hours of overtime labor per month in April and May (zero overtime in February and March). If demand exceeds supply, then backorders occur. There are 100 workers on January 31. You are given the following demand forecast: February, 80,080; March, 64,080; April, 100,080; May, 40,080. Productivity is five units per worker hour, eight hours per day, 20 days per month. Assume zero inventory on February 1. Costs are hiring, $45 per new worker; layoff, $65 per worker laid off; inventory holding, $9 per unit-month; straight-time labor, $10 per hour; overtime, $15 per hour; backorder, $18 per unit.
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Find the total cost of this plan. (Negative values should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Round your answers to the nearest whole number.)
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February |
March |
April |
May |
| Forecast |
80,080 |
64,080 |
100,080 |
40,080 |
| Beginning inventory |
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| Production required |
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| Production hours required |
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| Regular workforce |
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| Regular production |
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| Overtime hours |
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| Overtime production |
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| Total production |
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| Ending inventory |
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| Ending backorders |
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| Workers hired |
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| Workers laid off |
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February |
March |
April |
May |
| Straight time |
$ |
$ |
$ |
$ |
| Overtime |
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| Inventory |
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| Backorder |
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| Hiring |
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| Layoff |
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| Total |
$ |
$ |
$ |
$ |
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| Total cost |
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$ |