SOLUTION: A chain saw requires 8 hours of assembly and a wood chipper 4 hours. A maximum of 96 hours of assembly time is available. The profit is $150 on a chain saw and $230 on a chipper. H

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Question 1185979: A chain saw requires 8 hours of assembly and a wood chipper 4 hours. A maximum of 96 hours of assembly time is available. The profit is $150 on a chain saw and $230 on a chipper. How many of each should be assembled for maximum​ profit?
To attain the maximum​ profit, assemble ___ chain saws and ___ wood chippers.  
Answer by ikleyn(52782)   (Show Source): You can put this solution on YOUR website!
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A chain saw requires 8 hours of assembly and a wood chipper 4 hours. A maximum of 96 hours of assembly time is available.
The profit is $150 on a chain saw and $230 on a chipper. How many of each should be assembled for maximum​ profit?
To attain the maximum​ profit, assemble ___ chain saws and ___ wood chippers.  
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            It is easy to solve using your common sense and a bit of logical reasoning. 


The time of 8 hours is the same to assembly a chain saw OR two wood clippers.


But the profit is DIFFERENT:  $150 for a chain saw against 2*$230 = $460 for a pair of wood chippers.



THEREFORE, it is clear that the maximum profit will be attained by producing wood chippers ONLY:


    assembling   = 12 wood chippers  will provide the maximum profit of  12 * $230 = 2760  dollars.    ANSWER

Solved.

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It is an  ENTERTAINMENT  problem.



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