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(52781) (Show Source):
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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
