Question

Find the Maximum possible product of three positive numbers whose sum is 120.

Answer 1

is the value of the product 64000

Answer 2

how?

Answer 3

for completely solving u can use the Langranges method of multiplier..

Answer 4

would you need a constraint?

Answer 5

also in simple terms, a cube volume is the greatest for a given sum of dimensions, coz a square area is greatest for a given perimeter

Answer 6

@ganeshie8 yup agree

Answer 7

\[\sqrt[3]{120?}\]

Answer 8

lagrange's multiplier is little bit complicated since you would have to build a constraint you can assume the numbers to be x, x+1 and x+2 and then use derivative to find the the maximum value

Answer 9

then what can i use as an equation?
constraint?