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A manufacturing company makes two types of water skis. The

 

Customer Question

A manufacturing company makes two types of water skis. The relevant manufacturing data follows:

Labor-Hours per Ski Maximum Labor-Hours Available Per Day
Department Trick Ski Slalom Ski
Fabricating 6 4 120
Finishing 1 1 24

a) If the profit on a trick ski is $40 and the profit on a slalom ski is $30, 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.

 



Already Tried:
P=40x + 30y 6x + 4y </= 120 x + y /= 0 Point A x+y=24 is B interception x+y=24 and 6x + 4y = 120 is C x-intercept 6x + 4y = 120 is D A (0,0) B (0,24) C (__, __) D (__, __) Corner Point x,y

Submitted: 323 days and 22 hours ago.
Category: Math Homework
Value: $21
Status: CLOSED
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Expert:  guru2009 replied 323 days and 21 hours ago.

Welcome and Thanks for requesting me.

I am working on your question and will post the answer shortly.

Thanks.

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Expert:  guru2009 replied 323 days and 21 hours ago.

Answer:

 

The maximum profit is $840. The maximum occurs when 12 trick skis and 12 slalom skis are produced.

 

 

I hope that helps. Let me know if you need any clarifications on my answers. I will be happy to provide them. Else, please give a rating for my answer.

 

Thanks.

 

Customer replied 323 days and 21 hours ago.

Fantastic. There is a second part, can I ask you?


Discuss the effect on the production and the maximum profit if the profit on a salom ski decreases $20.


The max profit is $___. The max occurs when __ trick skis and __ salom skis are produced?


Thanks for all of your expertise.

Accepted Answer

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Expert:  guru2009 replied 323 days and 21 hours ago.

Answer:

 

The max profit is $800 The max occurs when 20 trick skis and 0 salom skis are produced.

 

 

I hope that helps. Let me know if you need any clarifications on my answers. I will be happy to provide them. Else, please give a rating for my answer.

 

Thanks.

 

Expert TypeMaster's Degree
Category: Math Homework
Pos. Feedback: 98.5 %
Accepts: 502
Answered: 6/26/2012

Experience: Excellent Tutor with a long teaching experience at different levels.

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