A banks operation goes from being very busy to not busy depending on the arrival patterns of customers throughout the day. Depending on how many customers are expected to arrive during the day, the banks manager decides on the number of teller windows that should be open so that customers dont wait for a long time before getting service. It is expected that each teller can serve an average of 10 customers an hour. Arrival patterns of customers vary from 4 customers/hour during the low arrival period between 11am-12pm to 8 customers/hour during the busiest period between 3pm-4pm. The bank has just completed a customer survey where it found that on an average, a customer values his/her cost of waiting to be about $2/minute. If the tellers get a total compensation of $2,500/month, then what is the optimal configuration for the bank regarding the number of tellers and pattern of service to be provided to customers? Assume the bank operates for 20 days in the month and 8 hours per day. Any other assumptions that you make for the analysis have to be clearly stated. (Although the time slots provided for the two different arrival rates are for one hour each, consider the system to be in a steady state for your analysis. Consider all possible options for the optimal configuration based on the Service Design conceptual discussions and the cases)

Questions to answer:

1. If the tellers get a total compensation of $2,500/month, then what is the optimal configuration for the bank regarding the number of tellers and pattern of service to be provided to customers?
2. Assume the bank operates for 20 days in the month and 8 hours per day. Any other assumptions that you make for the analysis have to be clearly stated. (Although the time slots provided for the two different arrival rates are for one hour each, consider the system to be in a steady state for your analysis.