Question

If the sum of two or more positive no.S is constant then their product is max. When theyre equal.

Answer 1

x+y =a then x×y =maximum

x=a-y and

y×(a-y) =constant.

ay-y^2= constant

take first derivatative

a- 2y =0 ,a/2= y

take 2 nd derivative = -2 it is negetive which shows that maxima will obtained

if y =a/2,then x=a/2 both are equal