Find three positive numbers x, y, and z whose sum is 33 and product is a maximum.
A)x = 5.5, y = 5.5, z = 22
B)x = y = z = 11
C)x = 8.25, y = 8.25, z = 16.5
D)x = 4.4, y = 6.6, z = 11
E)x = 2.2, y = 13.2, z = 17.6

Question

Quizplus · Accepted Answer

The product of numbers is maximized when the numbers are as close to each other as possible, given a fixed sum. Here, dividing 33 into three equal parts gives x = y = z = 11, which maximizes the product according to the arithmetic mean-geometric mean inequality.

Find Three Positive Numbers X, Y, and Z Whose Sum