<PRE><B>Question 273266</B>
from all the pairs of numbers whose sum is 256, find the pair whose product is greatest.
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x + y = 256
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Product = xy = x(256-x) = 256x-x^2
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P(x) = -x^2+256x
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Max occurs when x = -b/2a = -256/(-2) = 128
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If x = 128, y = 128
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Cheers,
Stan H.</PRE>