The sum of two nonnegative numbers is 50. What is the maximum value of the product of these two numbers ?

625

Step-by-step explanation:

Let two number be x and (50-x).

The product of numbers be x(50-x).

P = 50x-x²

For maximizing the product,

So, the maximum product, P = 50(25)-(25)²

P = 625

Hence, the maximum value of the product of these two numbers is 625.

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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step-by-step explanation:

told you