Question

If sum of three numbers is constant then the product is a maximum when the number is?

Answer 1

Given; the sum of three numbers is constant

To Find; If the sum of three numbers is constant then the product is a maximum when the number is

Solution; It is given that if the sum of three numbers is constant then the product is a maximum when the number

Let us considers some pairs having a constant sum of 6 then the pairs can be (1,2,3)(1,1,4),(2,2,2)

on multiplying the above pairs we will come to know that the product is maximum if the numbers are equal

Hence the product is maximum when numbers are equal