You are given the task of performing some primary cellular infrastructure calculations to help setup this cellular network system. Gotham City has a total area of 4000 km2 , with each cellular cell area estimated to be 5 kmz. The total number of voice channels assigned to Gotham city is 1000. Assuming a cluster size, 'N' of 4, calculate PART A) the total system capacity of the cellular system. (5 marks) R PART B) if the estimated number of mobile users in Gotham City are only 100,000, comment on the use of a cluster size, 'N" of 4. Can we set N higher or lower to provide adequate coverage to 100,000 cellular phone users? (5 marks) PART C) What would be the optimum cluster size 'N' be if a Signal to Interferer ratio 'S/l' of 18 dB is required? (5 marks) PART D) Caiculate the new system capacity with the value of 'N' you found in PART V C. (5 marks) f