Question
Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and
Jones Furniture Company produces beds and desks for college students. The production process requires carpentry and varnishing. Each bed requires 6 hours of carpentry and 4 hour of varnishing. Each desk requires 4 hours of carpentry and 8 hours of varnishing. There are 36 hours of carpentry time and 40 hours of varnishing time available. Beds generate $30 of profit and desks generate $40 of profit. Demand for desks is limited, so at most 8 will be produced.
Let | X1 = Number of Beds to produce |
| X2 = Number of Desks to produce |
| |
The LP model for the problem is
MAX: | 30 X1 + 40 X2 |
Subject to: | 6 X1 + 4 X2£ 36 (carpentry) |
| 4 X1 + 8 X 2£ 40 (varnishing) |
| X2£ 8 (demand for X2) |
| X1, X2³ 0 |
| |
| A | B | C | D | E |
1 | | Jones Furniture | | | |
2 | | | | | |
3 | | Beds | Desks | | |
4 | Number to make: | | | | Total Profit: |
5 | Unit profit: | 30 | 40 | | |
6 | | | | | |
7 | Constraints: | | | Used | Available |
8 | Carpentry | 6 | 4 | | 36 |
9 | Varnishing | 4 | 8 | | 40 |
10 | Desk demand | | 1 | | 8 |
| | | | | |
1.Refer to Scenario 3-1. What formula should be entered in cell E5 in the accompanying Excel spreadsheet to compute total profit?
2.Refer to Scenario 3-1. What formula should be entered in cell D8 in the accompanying Excel spreadsheet to compute the amount of carpentry used?
3. Refer to Scenario 3-1. Which cells should be changing cells in this problem?
4. Refer to Scenario 3-1. Which cells should be the constraint cells in this problem?
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