Max Flow

Consider the following flow network,

a$.(5$ pts$)$ Identify the source and the sink node in this network.

b$.(10$ pts$)$ Using Ford$-$Fulkerson, determine the max$-$flow through this network. Be sure to provide a list of the sequence of s$-$t paths that you check and the bottleneck associated with each one.

c$.(5$ pts$)$ Identify all of the min$-$cuts and critical edges within this flow network.