Question: The JC company needs to develop an aggregate production plan for the six months from January to June. You have been commissioned to create the
The JC company needs to develop an aggregate production plan for the six months from January to June. You have been commissioned to create the plan. The following information are provided:
| Demand and Working days | |||||||
| Jan | Feb | Mar | Apr | May | Jun | Total | |
| Demand forecast | 2,000 | 1,600 | 1,200 | 1,000 | 1,400 | 1,800 | 9,000 |
| Number of working days | 22 | 19 | 21 | 21 | 22 | 20 | 125 |
| Costs | |||||||
| Materials | $100.00/unit | ||||||
| Inventory holding cost | $10.00/unit/month | ||||||
| Marginal cost of stockout | $20.00/unit/month | ||||||
| Marginal cost of subcontracting | $100.00/unit ( $200.00 subcontracting cost less $100.00 material savings) | ||||||
| Hiring and training cost | $300.00/worker | ||||||
| Layoff cost | $600.00/worker | ||||||
| Labor hours required | 4/unit | ||||||
| Straight-time cost (first eight hours each day) | $10.00/hour | ||||||
| Overtime cost (time and a half) | $20.00/hour | ||||||
| Inventory | |||||||
| Beginning inventory | 400 units | ||||||
| Safety stock | 25% of month demand | ||||||
| Opening workforce | 35 workers |
What is the cost of each of the following production strategies?
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Produce exactly to meet demand; vary workforce (assuming opening workforce of 35 workers).
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Constant workforce of 35 workers: vary inventory and allow shortages only.
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Constant workforce of 35 workers: use overtime.
Notes: Use ROUND(number, 0) to round workers required to nearest integer number
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