PLEASE SHOW ALL STEPS. THANKS

Problem 1: Consider the following circuit-switched network in Fig 1, and four switches A, B, C and D, going in the clockwise direction, and 4 circuits on each link. (i In this network, calculate the maximum number of connections that can be in progress simultaneously at any one time? (ii) If all connections are between switches A and C, what is the maximum number of connections that can be in progress simultaneously? (ii) If we want to have 4 connections between A and C, and another 4 connections between B and D. Can we route these calls through the 4 links to accommodate all 8 connections? 10 Server link of capacity R 0 Clients Fig 1 Fig 2 Problem 2: Consider the throughput example corresponding to Fig.2. If we have are M client- server pairs instead of 10. Denote Rs, Rc, and R for the rates of the server links, client links, and network link. If all other links have enough capacity and that there is no other traffic in the network besides the traffic generated by the M client-server pairs. Please derive a general expression for throughput in terms of Rs, Rc, R, and M