SOLUTION: please help with this pre-cal problem find two numbers whose sum is 111 and whose product is as large as possible

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Question 505493: please help with this pre-cal problem
find two numbers whose sum is 111 and whose product is as large as possible
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
find two numbers whose sum is 111 and whose product is as large as possible
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Let one of the numbers be "x"
The other number is "111-x"
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Equation:
Product = x(111-x)
P = 111x -x^2
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Maximum Product occurs when x = -b/(2a) = -111/(2*-1) = 55.5
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Maximum Product = 55.5^2 = 3080.25
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Cheers,
Stan H.