Network Flow Problems

Q$\mathrm{.}6.10$ units of a product should be transported from point $1$ to point $6$ through the network drawn in the figure below. The figure indicates unit transfer costs on the arcs of the network. For instance moving one unit of an item from point $1$ to point $2$ costs $2$ dollars. Given this information, Formulate an LP that minimizes the transportation cost of items from point $1$ to point $6.$