Question

Found three positive numbers whose sum is 100 and the product is the maximum.

Answer 1

33 33 34

Answer 2

how to find this number?

Answer 3

a square has maximum area of all rectangles

Answer 4

a cube has maximum volume of all prisms

Answer 5

so when you have equal dimensions, u wil get maximum

Answer 6

100/3 = 33.33333

so ive taken two numbers to be 33, 33 and the third number to be 34

Answer 7

oh you've posted this in calculus,
then, lets think it in calculus and try to solve...

Answer 8

@dan815 @Jhannybean

Answer 9

Let
\[
f(x,y)= x y ( 100- x +y)
\]
Use gradient to find that f has a maximum at
\[
x=y= \frac {100}3
\]