Let $x,$ $y,$ and $z$ be three positive real numbers whose sum is 1.  If no one of these numbers is more than twice any other, then find the minimum value of the product $xyz.$
Question:
Let $x,$ $y,$ and $z$ be three positive real numbers whose sum is 1.  If no one of these numbers is more than twice any other, then find the minimum value of the product $xyz.$
Answer:
Let's think step by step.

user
\frac{1}{32}
Let $x,$ $y,$ and $z$ be three positive real numbers whose sum is 1.  If no one of these numbers is more than twice any other, then find the minimum value of the product $xyz.$
train