A certain area is covered by a cellular radio system with $84$ cells and a cluster size N$.300$ voice channelsare available for the system. Users are uniformly distributed over the area covered by the cellular system,and the offered traffic per user is $0\mathrm{.}04$ Erlang. Assume that blocked calls are cleared, and the designatedblocking probability is Pb $=1\%.$a$)$ Determine the maximum carried traffic per cell if cluster size N $=4$ is used. Repeat for clustersizes N $=7$ and $12.$b$)$ Determine the maximum number of users that can be served by the system for a blockingprobability of $1\%$ and cluster size N $=4.$ Repeat for cluster sizes N $=7$ and $12.$