Assignment task: Suppose you are a service provider with 180KHz of bandwidth which you must allocate between voice and data users. The voice users require 20Khz of bandwidth, and the data users require 60KHz of bandwidth.
So, for example, you could allocate all of your bandwidth to voice users, resulting in 9 voice channels, or you could divide the bandwidth to have 1 data channel and 6 voice channels, etc. Suppose further that this is a time-division system, with timeslots of duration T . All voice and data call requests come in at the beginning of a timeslot and both types of calls last T seconds. There are 9 independent voice users in the system: each of these users requests a voice channel with probability 0.7 and pays $0.50 if his call is processed. There are 3 independent data users in the system: each of these users requests a data channel with probability 0.6 and pays $1.20 if his call is processed. How should you allocate your bandwidth to maximize your expected revenue?