Performance: Maximum end$-$end throughput. Consider the scenario shown above, 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 $=200$ 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$.$

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?

$*$

$1$ point

$20$ Mbps

$275$ Mbps

$50$ Mbps

$200$ Mbps

$25$ Mbps