Problem 5: End to End Throughput and Bottleneck Links (20 pts) 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 300 Mbps. The four links from the servers to the shared link have a transmission capacity of Rs 40 Mbps Each of the four links from the shared middle link to a client has a transmission capacity of Rc 80 Mbps per second. You might want to review Figure 1.20 in the text before answering the following questions 1. What is the maximum achievable end-end throughput (in Mbps) for each of four client-to-server pairs, assuming that the middle link is fair-shared (i.e., divides its transmission rate equally among the four pairs)? 2. Which link is the bottleneck link for each session? 3. Assuming that the senders are sending at the maximum rate possible, what are the link utilizations for the sender links (Rs), client links (Rc), and the middle link (R)? 40 Mbps 40 40 ps R 300 Mbps bps