Question 1185980
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A chain saw requires 7 hours of assembly and a wood chipper 6 hours. A maximum of 126 hours of assembly time is available. 
The profit is $190 on a chain saw and $250 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.



<pre>
The time of 42 hours is the same to assembly  6 chain saws  OR  7 wood clippers.


But the profit is DIFFERENT:  6 * $190 = 1140  for 6 chain saws against 7 * $250 = $1750 for  7 wood chippers.



Next, take into account that 126 hours is a multiple of 42 hours.



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


    assembling  {{{126/6}}} = 21 wood chippers  will provide the maximum profit of  21 * $250 = 5250  dollars.    <U>ANSWER</U>
</pre>

Solved.


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It is an &nbsp;ENTERTAINMENT &nbsp;problem.