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 = 100 Mbps. The four links from the servers to the shared link have a transmission capacity of RS = 10 Mbps. Each of the four links from the shared middle link to a client has a transmission capacity of RC = 30 Mbps.

Rs- 10 Mbps Rs- 10 Maps Rs 10 Mbpa Rs 10 Mbps R = 100 Mbps 30 Mbps Rc 30 Mbps Re- 30 Mpe: R = 30 rope (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)? Which link is the bottleneck link? Format as Rc, Rs, or R (b) (c) 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 (d) (e) 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