Consider an $802\mathrm{.}11$ network with $2$ clients connected to an AP$.$ One client has a good channel to the AP that can sustain a bit rate of $54$ Mb$/$s$,$ while the second client has a bad channel to the AP that sustains only a bit rate of $2$ Mb$/$s$.$ Assume the MAC is perfectly fair and efficient, and has no overhead. Also, assume that bitrate adaptation is perfect and has converged to the optimal rates mentioned above. $1.$ What is the throughput that each client achieves to the AP when operating individually ic$.$ only one of the clients is present? $2.$ What is the throughput that each client achieves to the AP when the two clients operate jointly i$.$e$.$ both clients contend and get to transmit the same number of packets on the channel?