For positive real nubers $a,b,c$ find the maximum real number $x$, such that there exist positive numbers $p,q,r$, such that $p+q+r=1$ and $x$ does not exceed numbers $a\frac{p}{q}, b\frac{q}{r}, c\frac{r}{p}$
Source:
Tags: algebra
For positive real nubers $a,b,c$ find the maximum real number $x$, such that there exist positive numbers $p,q,r$, such that $p+q+r=1$ and $x$ does not exceed numbers $a\frac{p}{q}, b\frac{q}{r}, c\frac{r}{p}$