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

$=200$ Mbps$.$ Each link from a server has to the shared link has a transmission capacity of RS $=25$ Mbps$.$

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

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 $(1$ microsec $=0\mathrm{.}000001$ sec$).$ 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 unit a host

completely receives that packet? What is the maximum achievable end$-$end throughput $($in Mbps$)$ 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?