A manufacturer of skis produces two types: downhill and cross-country. The times required for manufacturing and finishing each ski are given in the table. The maximum total weekly hours available for manufacturing and finishing the skis are 108 hours and 20 hours, respectively. The profits per ski are $40 for downhill and $90 for cross-country. Determine how many of each kind of ski should be produced to achieve a maximum profit. Manufacturing time per ski Finishing time per ski Downhill 3 hours 0.5 hour Cross-country 2.5 hours 0.5 hour To achieve maximum profit, the manufacturer should produce downhill skis and cross-country skis.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A manufacturer of skis produces two types: downhill and cross-country. The times required for manufacturing and finishing each ski are given in the table. The maximum total weekly hours available for manufacturing and finishing the skis are 108 hours and 20 hours, respectively. The profits per ski are $40 for downhill and $30 for cross-country. Determine how many of each kind of ski should be produced to achieve a maximum profit.

|                      | Downhill       | Cross-country  |
|----------------------|----------------|----------------|
| Manufacturing time per ski | 3 hours       | 2.5 hours      |
| Finishing time per ski     | 0.5 hour      | 0.5 hour       |

To achieve maximum profit, the manufacturer should produce [ ] downhill skis and [ ] cross-country skis.
Transcribed Image Text:A manufacturer of skis produces two types: downhill and cross-country. The times required for manufacturing and finishing each ski are given in the table. The maximum total weekly hours available for manufacturing and finishing the skis are 108 hours and 20 hours, respectively. The profits per ski are $40 for downhill and $30 for cross-country. Determine how many of each kind of ski should be produced to achieve a maximum profit. | | Downhill | Cross-country | |----------------------|----------------|----------------| | Manufacturing time per ski | 3 hours | 2.5 hours | | Finishing time per ski | 0.5 hour | 0.5 hour | To achieve maximum profit, the manufacturer should produce [ ] downhill skis and [ ] cross-country skis.
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