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 $R=300Mbps.$ The four links from the servers to the shared link have a transmission capacity of $Rs=70Mbps.$ Each of the four links from the shared middle link to a client has a transmission capacity of $R_C=80Mbps.$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 $R=300Mbps.$ The four links from the servers to the shared link have a transmission

capacity of $R{s}_s=70Mbps.$ Each of the four links from the shared middle link to a client has a

transmission capacity of $R_c=80Mbps.$

Questions:

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$)?$

Which link is the bottleneck link? Format as Rc$,$ Rs$,$ or R

Assuming that the servers are sending at the maximum rate possible, what are the link

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

Assuming that the servers are sending at the maximum rate possible, what are the link

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

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