Q$1.$ Draw the network representation of the following network flow problem.

Min: $2$X$13+6$X$14+5$X$15+4$X$23+3$X$24+7$X$25$

ST: $-$X$13-$ X$14-$X$15=-8$

$-$X$23-$ X$24-$ X$25=-7$

X$13+$ X$23=+5$

X$14+$ X$24=+5$

X$15+$ X$25=+5$

Xij $>=0$ for all $($i$,$ j$)$