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 2.5 hours 2 hours
ski
Finishing time per ski 0.5 hour 1.5 hours
The maximum total weekly hours available for manufacturing and finishing the skis are
85 hours and 39 hours, respectively. The profits per ski are $50 for downhill and $60 for
cross-country. Determine how many of each kind of ski should be produced to achieve a
maximum profit.