Question

Divide the number 20 into two parts such that their product is maximum.

Answer 1

The number 20 should be divided into 10 and 10 .
Because in this case, 10 × 10 =100 .
Please mark as brainliest ...
# Be Brainly

Answer 2

Answer:

Numbers = 10, 10

Product = 10 x 10 = 100

Step-by-step explanation:

In the question,

Let us say one of the number is x.

So,

The other number is (20 - x).

Now,

The product of the numbers is given by,

$x(20-x)=20x-x^{2}$

For the function to be maximum the first derivative of this should be = 0.

So,

On differentiating w.r.t. to x we get,

$\frac{d}{dx}(20x-x^{2})=0\\20-2x=0\\2x=20\\x=10$

Therefore, one of the number is 10 and the other one is 10.

Numbers = 10, 10

The product is given by = 10 x 10 = 100 which is maximum.