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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 following table.

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 2.5 hours 2 hours

Finishing time per ski 1.5 hours 1.5 hours

The maximum total weekly hours available for manufacturing and finishing the skis are 70 hours and 48 hours, respectively. The profits per ski are $90 for downhill and $70 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 maximum profit?

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