Question
The planner at a company that makes garden tractors is about to prepare an aggregate production plan that will cover the next 6 months. She
The planner at a company that makes garden tractors is about to prepare an aggregate production plan that will cover the next 6 months. She has collected the following information:
Month | Demand Forecast Above the available capacity through permanent workforce |
1 | 1,000 |
2 | 1,000 |
3 | 2,000 |
4 | 3,000 |
5 | 4,000 |
6 | 1,000 |
Total: | 12,000 |
Production per month = 20 units per worker
Initial inventory = 500 units
Desired ending inventory (at the end of month 6) = 0 units
Cost:
Hire cost = $500 per temporary worker
Inventory = $10 per tractor per month
Backorder = $150 per tractor per month
The optimum aggregate plan is:
Month | 1 | 2 | 3 | 4 | 5 | 6 | Total |
Forecast Demand above regular capacity | 1,000 | 1,000 | 2,000 | 3,000 | 4,000 | 1,000 | 12,000 |
# of temporary workers required | 50 | 50 | 100 | 150 | 200 | 50 | |
Temp. Workers hired | 25 | 25 | 50 | 75 | 0 | 0 | |
Temp. workers laid off | 0 | 0 | 0 | 0 | 0 | 125 | |
Temp. Total workers | 25 | 50 | 100 | 175 | 175 | 50 | |
Output | 500 | 1,000 | 2,000 | 3,500 | 3,500 | 1,000 | 11,500 |
0 |
1. What is the ending inventory in Month 2?
2. What is the total cost in Month 2?
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