Consider a system with two users. User $1$ may transmit at rate their $76\mathrm{.}8$ kbps or $153\mathrm{.}6$ kbps$.$ Assume it makes requests to the base station, on the average, to be scheduled $50\%$ of the time at each transmission rate. User $2$ experiences higher channel quality and may as a result transmit at double the rate of user $1,153\mathrm{.}6$kbps or $307\mathrm{.}2$ kbps$.$ It scheduling requests are also made on the average, $50\%$ of the time for each rate. a$)$ If BS invokes round$-$robin scheduling, what is the average rate user $1$ and $2$ will obtain respectively? What is the average system throughput? $(10$ pts$)$ b$)$ Repeat the calculation with proportional fair scheduling. $(10$ pts$)$