Question: Page Heating Inc. constructs air conditioning and heating systems for hospitals. The expected demand and production days for the next 6 months are as follows.
Page Heating Inc. constructs air conditioning and heating systems for hospitals. The expected demand and production days for the next 6 months are as follows.
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| month | Expected demand | Production days | Demand/ day |
| jan | 1000 | 20 | 50 |
| feb | 1000 | 20 | 50 |
| mar | 700 | 20 | 35 |
| apr | 600 | 20 | 30 |
| may | 800 | 20 | 40 |
| jun | 900 | 20 | 45 |
Cost and other required information for the company is given in the following Table.
| Inventory carrying cost | $ 5 per unit per month |
| Subcontracting cost per unit | $30 per unit |
| Average pay rate | $10 per hour ($80 per day) |
| Overtime pay rate | $15 per hour (above 8 hours per day) |
| Labor-hours to produce a unit | 4 hours per unit |
| Cost of increasing daily production rate (hiring and training) | $300 per unit per month |
| Cost of decreasing daily production rate (layoffs) | $600 per unit per month |
Develop an aggregate production plan matching the workforce to the production requirement (i.e. a chase strategy) and compute the total cost of this plan. Assume that the firm starts with zero inventory and exact number of workers required for January production. Every worker works for 8 hours per day in regular time.
Write "0" (zero) if no ending inventory or hiring/firing exists for that month.
Write the big numbers without commas, e.g. 2300.
| Months | Demand | Daily production rate | Monthly production | Hiring (increase in daily prod rate) | Firing (decrease in daily prod rate) |
| Jan | 1000 | Answer
| Answer | 0 | 0 |
| Feb | 1000 | Answer
| Answer | Answer | Answer |
| Mar
| 700 | Answer | Answer | Answer | Answer |
| Apr | 600 | Answer | Answer | Answer | Answer |
| May | 800 | Answer | Answer | Answer | Answer |
| Jun | 900 | Answer | Answer | Answer | 0 |
Total cost = regular labor cost + hiring cost + firing cost
= 20 days*$10/hr*4hrs/unit* Answer + $300/unit*Answer + $600/unit* Answer = $ Answer
Does subcontracting increase or decrease costs? AnswerIncreaseDecrease
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