In a network as depicted in the figure, consider K servers are connected to the Internet via

links of capacity RS$,$ and within the network share fairly a link of capacity R$,$ and K clients are

connected to the network via a link of capacity RD$.$ Suppose that there is continuous traffic

between servers and clients. What is the throughput and bottleneck in the following

scenarios? $(30$ points$)$

$1.$ Suppose that K $=15,$ RS $=172$Mbps$,$ RD $=250$Mbps$,$ and R $=60$Gbps$.$ What are the

throughputs at each link between source and destination? Where are the bottleneck

links? $(10$ points$)$

$2.$ Suppose that K $=10,$ RS $=172$Mbps$,$ RD $=20$MBps$,$ and R $=0\mathrm{.}88$Gbps$.$ What are the

throughputs at each link between source and destination? Where are the bottleneck

links? $(10$ points$)$

$3.$ In scenario $2,$ suppose we decrease the capacity of the client links RD to $110$ Mbps and

increase the capacity of the shared link to $1\mathrm{.}5$ Gbps$.$ What are the throughputs at each

link between source and destination? Where are the bottleneck links? $(10$ points$)$