Numerical problems on Switching Consider the network in figure below where many servers and clients exist, and routers have many incoming and outgoing links. The transmission rates and distances of each link are given in the figure. a) Circuit switching: ii. i. How many users or circuits can be supported by Link 2 if each circuit is allocated 0.5 Mbps? What is the bottleneck or maximum throughput (in the presence of circuits in part i) when Server_1 is transmitting to Client_1 only? iii. What will be the transmission delay when Server 1 transmits a packet of length 2 Mbits? b) Packet switching: Server_1 iv. Will there be any queuing delay on Router_2 if only 1 or 2 clients are uploading at 1 Mbps each to some server at any time? Why? v. If each client transmits only 10% of the time, what is the probability that a given user is transmitting? vi. What is the maximum throughput when only Server 1 is transmitting packets to Client_1? vii. The company has registered N users. What is the probability that exactly K users are transmitting at the same time? (K