Suppose that three Ethemet LAN's are connected with two bridges as shown in Figure 1 below. Eaclh Ethernet LAN operates at the rate of 10 Mbps, and assume that the efficiency of each Ethernet is 80 percent (i.e., the maximum throughput on a LAN is 8 Mbps). There are Nhosts connected to each LAN (and a total of 3N hosts). Each host transmits frames at the average rate of R bps, and each frame is equally likely to be destined for a host on one of the three LAN's. We are interested in the average behavior so assume that the bridges have learned the locations of all the hosts Figure 1. Linear network (a). For the topology in Figure 1, find the maximum value for N that can be supported if R is equal to 100 Kbps. (Answer: 34.) For the topology given in Figure 2, there are three bridges connected with a common backbone LAN. The backbone LAN also operates at the rate of 10 Mbps, and assume its efficiency is also 80%. There are no hosts directly connected to the backbone LAN. Under the same assumptions as for part a, find the maximum value for V (b) -N Figure 2. Backbone network (c) Consider the same network as for part (b) but assume that the backbone LAN is upgraded to operate at 100 Mbps (but still assume its efficiency is 80%). What is the maximum value for N after this change? Suppose that three Ethemet LAN's are connected with two bridges as shown in Figure 1 below. Eaclh Ethernet LAN operates at the rate of 10 Mbps, and assume that the efficiency of each Ethernet is 80 percent (i.e., the maximum throughput on a LAN is 8 Mbps). There are Nhosts connected to each LAN (and a total of 3N hosts). Each host transmits frames at the average rate of R bps, and each frame is equally likely to be destined for a host on one of the three LAN's. We are interested in the average behavior so assume that the bridges have learned the locations of all the hosts Figure 1. Linear network (a). For the topology in Figure 1, find the maximum value for N that can be supported if R is equal to 100 Kbps. (Answer: 34.) For the topology given in Figure 2, there are three bridges connected with a common backbone LAN. The backbone LAN also operates at the rate of 10 Mbps, and assume its efficiency is also 80%. There are no hosts directly connected to the backbone LAN. Under the same assumptions as for part a, find the maximum value for V (b) -N Figure 2. Backbone network (c) Consider the same network as for part (b) but assume that the backbone LAN is upgraded to operate at 100 Mbps (but still assume its efficiency is 80%). What is the maximum value for N after this change