Please show work for each part of the problem.

1) In modern packet-switched networks, including the Internet, the source host segments long, application-layer messages (for example, an image or a music file) into smaller packets and sends the packets into the network. The receiver then reassembles the packets back into the original message. We refer to this process as message segmentation. For this exercise we will use the network architecture provided in the figure below, were Rs, Rc and Ri for i = {1,2,3,4}, the transmission rates of the server link, client link and intermediate network links. Consider a message that is 60. 10s bits long that is to be sent from client to server. Ignore propagation, queuing, and processing delays. Client Server R2 Rc Rs R3 a) Suppose each link in the figure is 10 Mbps. Consider sending the message from source to destination without message segmentation. How long does it take to move the message from the source host to the first packet switch? Keeping in mind that each switch uses store-and-forward packet switching, what is the total time to move the message from source host to destination host? Now suppose that the message is segmented into 6000 packets, with each packet being 10,000 bits long. How long does it take to move the first packet from source host to the first switch? When the first packet is being sent from the first switch to the second switch, the second packet is being sent from the source host to the first switch. At what time will the second packet be fully received at the first switch? b) c) How long does it take to move the file from source host to destination host when message segmentation is used? Compare this result with your answer in part (a) and comment. d) Does it make a difference on whether path Ri, R2 is chosen for the transmission or whether path R3, R4 is chosen? If both paths are being used, does is take more, or less time to move the file from source to destination using segmentation? Justify your answer What is the throughput of each path? What is the total throughput from client to server? e)