Problem $6$: Consider the following linear programming formulation for a transshipment problem:

Min$11x_{13}+12x_{14}+10x_{21}+8x_{34}+10x_{35}+11x_{42}+9x_{45}+12x_{92}$

$s.t.$

$x_{13}+x_{14}-x_{21},5$

$x_{21},-x_{42},-x_{52}3$

$x_{13},-x_{34}-x_{35},6$

$-x_{14},-x_{34}+x_{42}+x_{45},2$

$x_{35}+x_{45}-x_{52}4$

$x_{ij}0$ for all $i,j$

Construct the network representation of this problem.