SOLUTION: Find two positive real numbers with a maximum product whose sum is 110.

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Question 565890: Find two positive real numbers with a maximum product whose sum is 110.
Answer by stanbon(75887) About Me  (Show Source):
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Find two positive real numbers with a maximum product whose sum is 110.
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x + y = 110
x = 110-y
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Area = xy = (110-y)y
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A = 110y-y^2
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maximum A occurs when y = -b/(2a) = -110/(2*-1) = 55
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x + y = 110
x + 55 = 110
x = 55
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Solution: (55,55)
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Cheers,
Stan H.
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