A manufacturer of ski clothing makes ski pants and ski jackets. The profit on a pair of ski pants is $35 and on a jacket is $15. Both pants and jackets require the work of sewing operators and cutters. There are 60 minutes of sewing operator time and 48 minutes of cutter time available. It takes 8 minutes to sew one pair of ski pants and 4 minutes to sew one jacket. Cutters take 4 minutes on pants and 8 minutes on a jacket. The manufacturer wants to make a minimum of 4 ski pants and 2 ski jackets. Let x represent the number of ski pants.
Let y represent the number of ski jackets.

Find the maximum profit and the amount of pants and jackets to maximize the profit.