Question

A manufacturer of skis produces two​ types: downhill and​ cross-country. The times required for manufacturing and...

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

2.52.5

hourshours

1.51.5

hourshours

Finishing time per ski

0.50.5

hourhour

1.51.5

hourshours

The maximum total weekly hours available for manufacturing and finishing the skis are 60 hours and 36 ​hours, respectively. The profits per ski are ​$90 for downhill and ​$50 for​ cross-country. Determine how many of each kind of ski should be produced to achieve a maximum profit.

How many of each kind of ski should be produced to achieve a maximum​ profit?

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