A manufacturer of skis produces twotypes: downhill andcross-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 forcross-country. Determine how many of each kind of ski should be produced to achieve a maximum profit.