$(20$ points$)$ Determine the maximum flow from node $1$ to node $5$ in the network

below, as well as the optimum flow in each arc. Write down each of the break$-$

through paths in the order in which you find them, as well as the resulting

amount of flow on each breakthrough path. Use these flow values to compute

the maximal flow in the network. Write out the resulting residual capacities

on each arc after each breakthrough path is found, and use the final residual

capacities on each arc to determine the optimum flow in each arc. PLEASE HELP ME ANSWER BY HAND AND SHOW WORK