SOLUTION: 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.
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Question 1185980: 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. Answer by ikleyn(52781) (Show Source):
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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.
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 = 21 wood chippers will provide the maximum profit of 21 * $250 = 5250 dollars. ANSWER
