Find three positive numbers x, y, and z whose sum is 24 and product is a maximum.
A) $x = 4 , y = 4 , z = 16$
B) $x = 8 , y = 8 , z = 8$
C) $x = 1.6 , y = 9.6 , z = 12.8$
D) $x = 3.2 , y = 4.8 , z = 8$
E) $x = 6 , y = 6 , z = 12$

Question

Find three positive numbers x, y, and z whose sum is 24 and product is a maximum. 
A) $x = 4 , y = 4 , z = 16$
B) $x = 8 , y = 8 , z = 8$
C) $x = 1.6 , y = 9.6 , z = 12.8$
D) $x = 3.2 , y = 4.8 , z = 8$
E) $x = 6 , y = 6 , z = 12$

Quizplus · Accepted Answer

The product of numbers is maximized when the numbers are equal, given a fixed sum. Here, dividing 24 equally among x, y, and z gives 8 for each, maximizing the product $x \cdot y \cdot z$.

Find Three Positive Numbers X, Y, and Z Whose Sum x=4,y=4,z=16x = 4 , y = 4 , z = 16x=4,y=4,z=16

Find Three Positive Numbers X, Y, and Z Whose Sum $x = 4 , y = 4 , z = 16$