Author Question: Of all numbers whose sum is 20, find the two that have the maximum product. Is there a minimum ... (Read 31 times)

drink · **on:** Jun 16, 2021

Of all numbers whose sum is 20, find the two that have the maximum product. Is there a minimum product? Explain.
◦ 10 and 10; There is not a minimum product since the function that represents the product has just one critical point, and that critical point is a maximum. The domain is the real line, and on either side of the maximum the function decreases without bound.
◦ 10 and 10; The minimum product is 0.
◦ 0 and 10; The minimum product is 0.
◦ 0 and 10 ; There is not a minimum product since the function that represents the product has just one critical point, and that critical point is a maximum. The domain is the real line, and on either side of the maximum the function decreases without bound.

Chocorrol77 · **Reply #1 on:** Jun 16, 2021

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