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    Important information about Maximization

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    Find two real numbers whose sum is 10 and whose product is maximal?

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    https://brainmass.com/math/calculus-and-analysis/important-information-about-maximization-3871

    Solution Preview

    Let x and (10-x) be the two numbers. We must find x such that the product,

    P(x) = x(10-x) (1)

    is maximal. Expanding this equation we have

    P(x) = 10x-x^2 (2)

    As the reader can see, this is just a parabola opening downward, (I call this a frowning parabola ...

    Solution Summary

    This shows how to find two numbers with maximum product and given sum.

    $2.19

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