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Radda [10]
1 year ago
12

What two nonnegative real numbers with a sum of 64 have the largest possible product?

Mathematics
1 answer:
Otrada [13]1 year ago
6 0

The two non negative real numbers with a sum of 64 that have the largest possible​ product are; 32 and 32.

<h3>How do we solve the nonnegative real numbers?</h3>

Let the two numbers be x and y.

Thus, if their sum is 64, then we have;

x + y = 64

y = 64 - x

Their product will be;

P = xy

Putting (64 - x) for y in the product equation we have;

P = (64 - x)x

P = 64x - x²

Since the product is maximum, let us find the derivative;

P'(x) = 64 - 2x

At P'(x) = 0, we have;

64 - 2x = 0

2x = 64

x = 64/2

x = 32

Thus; y = 64 - 32

y = 32

Read more about nonnegative real numbers

brainly.com/question/9580755

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