$1.$Consider a $1$G cellular system implemented using AMPS which uses $25$ MHz of bandwidth in each cluster, and allocates $30$ KHz to each user.A$)$Calculate the number of channels that could be allocated to users? What is the number users that could be accommodated by this system in each cluster?B$)$Assume that a city is divided into clusters of $7$ hexagonal cells with $20$ Channels in total. Assuming the number users calculated in section A of this question, how many users could be accomodated in each cell $?$C$)$Using this system, how many users in total could be using their cell phones at the same time?Now assume we have upgraded the AMPS system to GSM system with frequency carrier of $200$KHz$,$ using the TDMA multiple access method with $8$ time slots per frequency carrier.D$)$Calculate the number of carriers and the number of channels? How many users could be accommodated per cluster using this system?E$)$Assume that the reuse factor for AMPS is $7$ and for GSM it is $3.$Compare the number of users accommodated per cell in each case?