A Bank manager is trying to determine if he needs to open another teller for the afternoon shift. At the moment there are 2 tellers open (channels, m) and both provide service at a rate of 2 customers per teller/per hour (λ); with an arrival rate of 3 customers an hour (µ). If the manager decides to open another teller we assume she will provide service at a rate of 2 customers per hour as well. Using a multiphase system with Poisson arrivals and exponential service times, analyze if the Bank manager should open another teller.

Explanation of problem "Include the name of the exact queuing model you applied to your analysis and justify why it is appropriate for your example"