Consider the throughput example corresponding to Figure $1\mathrm{.}20($b$)($Page $46).$ Now

suppose that there are M client$-$server pairs rather than $10.$ Denote Rs$,$ and Rc$,$ and R

for the rates of the server links, client links, and network link. Assume all other links

have abundant capacity and that there is no other traffic in the network besides the

traffic generated by the M client$-$server pairs. Derive a general expression for

throughput in terms of Rs$,$ Rc$,$ R and M$.$