Question: Given the following information, formulate the aggregate production planning problem as a transportation table and solve it: (Do not leave any empty spaces; input a
Given the following information, formulate the aggregate production planning problem as a transportation table and solve it: (Do not leave any empty spaces; input a 0 wherever it is required.)
| Month | ||||
| 1 | 2 | 3 | ||
| Demand forecast | 550 | 700 | 750 | |
| Capacity (maximum) | ||||
| Regular | 500 | 500 | 500 | |
| Overtime | 50 | 50 | 50 | |
| Part time | 120 | 120 | 100 | |
| Beginning inventory | 100 | |||
| Costs | |||
| Regular time | $ | 60 per unit | |
| Overtime | $ | 80 per unit | |
| Part time | $ | 90 per unit | |
| Inventory holding cost | $ | 2 per unit per month | |
| Backorder cost | $ | 3 per unit per month | |
| Demand for | Period 1 | Period 2 | Period 3 | Unused | Total | ||||
| Beginning Inventory | |||||||||
| 1. | |||||||||
| Regular Time | |||||||||
| Over time | |||||||||
| Part-time | |||||||||
| 2. | Regular Time | ||||||||
| Over time | |||||||||
| Part-time | |||||||||
| 3. | Regular Time | ||||||||
| Over time | |||||||||
| Part-time | |||||||||
| Total | |||||||||
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