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put this solution on YOUR website!The sum of 2 numbers is 12. Find the numbers so that their product is a maximum.
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Let one of the numbers be "x"
The other number is (12-x).
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Product = x(12-x)
p(x) = -x^2+12x
Maximum occurs when x = -b/2a = -12/(2*-1) = 6
P(6) = -6^2+12*6 = -36+72 = 36
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The numbers that give a maximum product are:
x = 6
12-x = 12-6 = 6
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Cheers,
Stan H.
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