Question

Maxima and minina...

Find the positive numbers whose sum is 110 and whose product is a maximum.

Answer 1

55,55

Answer 2

55 $ 55

Answer 3

55 and 55....
use :x+y=110
next let us say p=xy
for product to be max dp/dx should be -ve and here p=x(110-x)
u'll see that x=55 and y=55

Answer 4

Let one number be called x. The other is 110-x.

f(x) = x(110-x)

f(x) = 110x - x^2

Now take the derivative

f '(x) =110 - 2x
make it =0

110- 2x = 0

110= 2x

x = 110/2

so the other number is 110- 110/2 = 110/2.

The two numbers are 110/2 and 110/2.
=55 and 55