What is the value of $\max \min_{x,y,z}\{10x,5y,6z\}?$

What is the value of $\max \min_{x,y,z}\{10x,5y,6z\}?$

Let $x,y,z \in N$ and satisfy that $x+y+z=71$. What is the value of $\max
\min_{x,y,z}\{10x,5y,6z\}?$
Thanks head:)