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Today, 07:16

Find the two positive numbers that satisfy the given requirements:

"The sum is S and the product is a maximum."

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  1. Today, 07:24
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    We are given with two conditions and we label each positve number as x and y. The sum of the 2 numbers is x + y equal to S. The product is maximum.

    The product is xy. To find the maximum

    P = xy = x (S - x) = Sx - x2

    dP = S - 2x = 0

    hence x = S/2

    y then is equal to S/2 also.
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