Question
You manage a production line that operates using a monthly production cycle. There are five different products that could be made this month. However, you
- You manage a production line that operates using a monthly production cycle. There are five different products that could be made this month. However, you only have 500 hours of line capacity, so you must be careful which products you select to make in the production cycle.
Making a product incurs two types of setup costs: (1) a material tear down cost (measured in dollars) and (2) downtime for line preparation (measured in hours). Any quantity up to the forecasted monthly demand can be sold. Additional production details are given in the table below:
| Product 1 | Product 2 | Product 3 | Product 4 | Product 5 |
Monthly Demand | 1000 units | 1100 units | 1700 units | 1600 units | 1500 units |
Revenue (per unit) | $150 | $175 | $155 | $200 | $225 |
Production Cost (per unit) | $60 | $70 | $60 | $100 | $110 |
Set Up Cost | $10000 | $15000 | $25000 | $10000 | $5000 |
Set Up Time | 25 hrs | 15 hrs | 0 hrs | 10 hrs | 30 hrs |
Production Time (per unit) | .1 hrs | .12 hrs | .13 hrs | .15 hrs | .16 hrs |
- Based on this information, design a monthly production schedule to maximize monthly profit. Your solution should identify which products to make and the quantities of each. (Assume the line is not currently set up to make any of these products; Set Optimality Gap to .1%)
- If you could go to a two-month production cycle with the same monthly demands and the same monthly capacity, would you select different products and quantities? (Again assume the line is not currently set up to make any of these products; Set Optimality Gap to .1%)
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