A graph with $6$ nodes and $8$ directed arcs is shown.

Node $1$ with value $100$ is connected to node $5$ with value $250$ by arc of value $6$ and to node $6$ with value $250$ by arc of value $7.$

Node $2$ with value $200$ is connected to node $5$ with value $250$ by arc of value $5$ and to node $6$ with value $250$ by arc of value $2.$

Node $3$ with value $150$ is connected to node $5$ with value $250$ by arc of value $4$ and to node $6$ with value $250$ by arc of value $7.$

Node $4$ with value $50$ is connected to node $5$ with value $250$ by arc of value $8$ and to node $6$ with value $250$ by arc of value $8.$

Node $5$ with value $250$ has no directed arcs directed to other nodes.

Node $6$ with value $250$ has no directed arcs directed to other nodes.