Q$\mathrm{.}5)$ Consider the scenario shown below, with $10$ different servers $($four shown$)$ connected to $10$ different clients over ten three$-$hop paths. The pairs share a common middle hop with a transmission capacity of $R=200Mbps.$ Each link from a server has to the shared link has a transmission capacity of $R_S=25Mbps.$

Each link from the shared middle link to a client has a transmission capacity of $R_c=50Mbps.$

Host$-2$

A$)$ What is the maximum achievable end$-$end throughput $($in Mbps$,$ give an integer value$)$ for each of ten client$-$to$-$server pairs, assuming that the middle link is fairly shared and all servers are trying to send at their maximum rate?

B$)$ Now consider the three$-$hop path from Server$-10$ to host$-10,$ assuming the values of Rs$,$ Rc$,$ and R given above. Assume also that a packet is $1000$ bits long, and that each link has a propagation delay of $100$ microseconds $0\mathrm{.}000001sec).$ You can assume that queueing delay and nodal processing delays are zero. What is the total amount of time from when a server starts sending a packet until a host completely receives that packet?