Question: $2$ Consider the scenario shown below, with four different servers connected to four

different clients over four three$-$hop paths. The four pairs share a common middle hop with a

transmission capacity of $R=200Mbps.$ The four links from the servers to the shared link have a

transmission capacity of RS $=80Mbps.$ Each of the four links from the shared middle link to a client

has a transmission capacity of $RC=40Mbps.$

a$)$ What is the maximum achievable end$-$end throughput $($in Mbps$)$ for each of four

client$-$to$-$server pairs, assuming that the middle link is fairly shared $($divides its

transmission rate equally$)?$

b$)$ Assuming that the servers are sending at the maximum rate possible, what are the

link utilizations for the server links $(R_s)?$ Answer as a decimal

c$)$ Assuming that the servers are sending at the maximum rate possible, what are the

link utilizations for the client links $(R_c)?$ Answer as a decimal

d$)$ Assuming that the servers are sending at the maximum rate possible, what is the link

utilizations for the shared link $($R$)?$ Answer as a decimal