A queuing system with a Poisson arrival rate and exponential service time has a single queue, two servers, an average arrival rate of 60 customers per hour, and an average service time of 1.5 minutes per customer.

Answer the following questions. Explain ALL formulas and calculations used in your response.

A. The manager is thinking of implementing additional queues to avoid an overloaded system. What is the minimum number of additional queues required?

B. How many additional servers are required to ensure the utilization is less than or equal to 50%

C. If the manager loses a server, what service time would be necessary to ensure that the queue length is not at risk of approaching infinity?