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 100 hours and 54 hours, respectively. The profits per ski are $90 for downhill and $60 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 Finishing time per ski 2.5 hours 2 hours 1 hour 1.5 hours To achieve maximum profit, the manufacturer should produce downhill skis and cross-country skis.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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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 100 hours and 54 hours, respectively. The profits per ski
are $90 for downhill and $60 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
Finishing time per ski
2.5 hours
2 hours
1 hour
1.5 hours
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 100 hours and 54 hours, respectively. The profits per ski are $90 for downhill and $60 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 Finishing time per ski 2.5 hours 2 hours 1 hour 1.5 hours To achieve maximum profit, the manufacturer should produce downhill skis and cross-country skis.
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