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25 May, 19:40

Find two positive numbers a and b (witha≤b) whose sum is 88 and whose product is maximized.

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  1. 25 May, 22:06
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    a + b = 88

    ab = y

    a = 88 - b

    y = (88 - b) * b

    y = - b^2 + 88b

    Take the derivative and set equal to 0

    y' = - 2b + 88 = 0

    2b = 88

    b = 44

    a=44

    both numbers are 44
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