Q$4.$ You are given a directed graph which after a few iterations of Ford$-$Fulkerson has the following flow. The labeling of edges indicate flow$/$capacity: $(15$ points$)$

a$)$ Draw the corresponding residual graph.

b$)$ Is this a max flow? If yes, indicate why. If no$,$ find max flow.

c$)$ What is the min$-$cut?