Question

divide 100 into two parts so that their product is maximum​

Answer 1

Answer:

50 , 50

Step-by-step explanation:

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Answer 2

100 should be divided into 50 and 50.

GIVEN

Number = 100

TO FIND

To divide 100 into two parts so that their product is maximum.

SOLUTION

We can simply solve the above problem as follows;

Let the 100 be divided into x and 100-x

Product of (x) and (100-x) =

f(x) = 100x - x²

f'(x) = 100 - 2x

For the product to be maximum;

f'(x) = 0

Therefore,

100 - 2x = 0

2x = 100

x = 50

Hence, 100 should be divided into 50 and 50.

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