Question

MULTIVARIABLE CALC: Find the maximum possible product of three positive numbers whose sum is 60

Answer 1

Here's a similar question with a discussion and solution:

Find three positive numbers whose sum is 100 and whose product is a maximum.

http://www.math.ucla.edu/~ronmiech/Calculus_Problems/32A/chap12/section7/820d41/820_41.html

@sportsgurl808

Answer 2

Also, look at #9 here:

http://www.math.duke.edu/~jvb/classes/math103/exam1_solns.pdf