A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant manufacturing data are given in the table.
Labor-Hours per Ski Maximum Labor-Hours
Department Trick Ski Slalom Ski Available per Day
Fabricating 8 6 264
Finishing 1 1 40
Answer parts (A), (B), and (C) below.
(A) If the profit on a trick ski is $50 and the profit on a slalom ski is $60, how many of each type of ski should be manufactured each day to realize a maximum profit? What is the maximum profit?
The maximum profit is $. The maximum occurs when trick skis and slalom skis are produced.
(B) Discuss the effect on the production schedule and the maximum profit if the profit on a slalom ski decreases to $45.
The maximum profit $. The maximum occurs when trick skis and slalom skis are produced.
(C) Discuss the effect on the production schedule and the maximum profit if the profit on a slalom ski increases to $65.
The maximum profit $. The maximum occurs when trick skis and slalom skis are produced.