Explore BrainMass

Explore BrainMass

    Important information about Maximization

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

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

    © BrainMass Inc. brainmass.com November 24, 2022, 11:31 am ad1c9bdddf

    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.