find two positive number whose sum is 60. what is the max product of one number times the square of the second number? what are the two numbers?

Question

find two positive number whose sum is 60. what is the max product of one number times the square of the second number? what are the two numbers?

Answer 1

Two numbers sum to 60.

The max product of one number times the square of the second number is 32,000. The numbers are 20 and 40.

This is N*(60-N)*(60-N)

You may start with a "trial value," say N=30, then compute values slightly on either side (N=25 and N=30). Now, for a maximum, move toward the larger value until the values start getting less.