A graph with $7$ nodes and $12$ directed arcs is shown.

Node $1$ with value $470$ is connected to node $4$ by arc of value $2,$ to node $5$ by arc of value $3,$ and to node $6$ with value $575$ by arc of value $3.$

Node $2$ with value $410$ is connected to node $4$ by arc of value $6$ and to node $5$ by arc of value $5.$

Node $3$ with value $270$ is connected to node $2$ with value $410$ by arc of value $2,$ to node $4$ by arc of value $7,$ and to node $5$ by arc of value $11.$

Node $4$ is connected to node $6$ with value $575$ by arc of value $6$ and to node $7$ with value $575$ by arc of value $8.$

Node $5$ is connected to node $6$ with value $575$ by arc of value $13$ and to node $7$ with value $575$ by arc of value $14.$

Node $6$ with value $575$ has no directed arcs directed to other nodes.

Node $7$ with value $575$ has no directed arcs directed to other nodes.

Min $$$2$x$14+3$x$15+3$x$16+6$x$24+5$x$25+2$x$32+7$x$34+11$x$35+6$x$46+8$x$47+13$x$56+14$x$57$

Correct: Your answer is correct.

s$.$t$.$

Node $1$ Flows $$x$14+$x$15+$x$16=470$

Incorrect: Your answer is incorrect.

Node $2$ Flows $$x$24+$x$25$x$32=410$

Incorrect: Your answer is incorrect.

Node $3$ Flows $$x$32=270$

Incorrect: Your answer is incorrect.

Node $4$ Flows x$14+$x$24+$x$34=$

Node $5$ Flows

Node $6$ Flows

Node $7$ Flows