SOLUTION: The difference of two numbers is 18. Find the numbers such that their product is a minimum.
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Question 437416: The difference of two numbers is 18. Find the numbers such that their product is a minimum.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The difference of two numbers is 18. Find the numbers such that their product is a minimum.
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x-y = 18
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product = xy
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y = x-18
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Substitute and determine minimum product.
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P = x(x-18)
P = x^2-18x
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Minimum occurs when x = -b/(2a) = 18/(2) = 9
y = x-18
y = 9-18 = -9
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Minimum product is xy = 9*-9 = -81
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Cheers,
Stan H.
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