Question 96
Find the smallest possible value of
$$
x y + y z + z x + \frac{1}{x} + \frac{2}{y} + \frac{5}{z},
$$
for positive real numbers $x$, $y$ and $z$.
$$
x y + y z + z x + \frac{1}{x} + \frac{2}{y} + \frac{5}{z},
$$
for positive real numbers $x$, $y$ and $z$.