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 9 6 243 Finishing 1 1 36 Answer parts​ (A), (B), and​ (C) below. ​(A) If the profit on a trick ski is $30and the profit on a slalom ski is $50​, 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 ​$11. The maximum occurs when 11 trick skis and 11 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 ​$40. The maximum profit decreases to decreases to remains the same at increases to ​$11. The maximum occurs when 11 trick skis and 11 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 ​$60.   The maximum profit increases to increases to remains the same at decreases to ​$11. The maximum occurs when 11 trick skis and 11 slalom skis are produced

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ISBN:9780470458365
Author:Erwin Kreyszig
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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
9
6
243
Finishing
1
1
36
Answer parts​ (A), (B), and​ (C) below.
​(A) If the profit on a trick ski is $30and the profit on a slalom ski is $50​,
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
​$11. The maximum occurs when 11 trick skis and
11 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 ​$40. The maximum profit
decreases to decreases to remains the same at increases to
​$11. The maximum occurs when 11 trick skis and 11 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
​$60.
 
The maximum profit
increases to
increases to
remains the same at
decreases to
​$11.
The maximum occurs when
11
trick skis and
11
slalom skis are produced.
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