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 $R=300Mbps.$ Each link from a server to the shared link has a transmission capacity of $R_S=20Mbps.$ Each link from the shared middle link to a client has a transmission capacity of $R_C=50Mbps.$

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?