$(1$ point$)$ Use the Divergence Theorem to calculate the flux of $F$ across $S,$ where $F=zi+yj+zk$ and $S$ is the surface of the tetrahedron enclosed by the coordinate planes and the plane

$\frac{x}{2}+\frac{y}{5}+\frac{z}{3}=1$

${}_{S}F*dS=$