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Question 1166693: A chain saw requires 3 hours of assembly and a wood chipper 7 hours. A maximum of 42 hours of assembly time is available. The profit is $190 on a chain saw and $210 on a chipper. How many of each should be assembled for maximum​ profit?
Answer by ikleyn(52900)   (Show Source):
You can put this solution on YOUR website! .
A chain saw requires 3 hours of assembly and a wood chipper 7 hours. A maximum of 42 hours of assembly time is available.
The profit is $190 on a chain saw and $210 on a chipper.
How many of each should be assembled for maximum​ profit?
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Let x be the number of wood chippers.
Then the number of chain saws is  .
The profit function is P =  . (*)
Next, in order for do not spend my time for nothing, I create a Table in Excel with 3 column.
First column is x = 0, 1, 2, 3,4, 5, 6, 7.
Second column is to see when this number is integer.
The third column is the profit by formula (*).
T A B L E
x Profit P =
--------------------------------------------------------------
0 14 2660
1 11.66666667 2426.666667
2 9.333333333 2193.333333
3 7 1960
4 4.666666667 1726.666667
5 2.333333333 1493.333333
6 0 1260
7 -2.333333333 1026.666667
From the Table, you see the ANSWER : 0 wood chippers and 14 chain saws.
Solved.
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