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

Multiple Choice

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) $x = 129 , y = 79 , z = 89$