Find three positive numbers whose sum is 291 and whose product is a maximum.
A) $x = y = z = 97$
B) $\quad x = 109 , y = 99 , z = 89$
C) $x = 100 , y = 108 , z = 89$
D) $x = 99 , y = z = - 99$
E) $x = 129 , y = 79 , z = 89$

Question

Quizplus · Accepted Answer

The product of three numbers is maximized when the numbers are as equal as possible. The numbers 97, 97, and 97 are equal and sum to 291, maximizing the product.

Find Three Positive Numbers Whose Sum Is 291 and Whose x=y=z=97x = y = z = 97x=y=z=97

Find Three Positive Numbers Whose Sum Is 291 and Whose $x = y = z = 97$