Determine how many of each kind of ski should be produced to achieve a maximum profit
Question
A manufacturer of skis produces two types:
downhill and cross-country. The times required for manufacturing and finishing each ski are given in the following table.
Downhill
Cross-country
Manufacturing time per ski
1.5
1.5 hours
hours
1
1 hour
hour
Finishing time per ski
0.5
0.5 hour
hour
0.5
0.5 hour
hour
The maximum total weekly hours available for manufacturing and finishing the skis are 36
36 hours and 15
15 hours, respectively. The profits per ski are $90
90 for downhill and $40
40 for cross-country. Determine how many of each kind of ski should be produced to achieve a maximum profit.
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