Suppose that in a small business, customers arrive at a Poisson rate of one every 12 minutes and that service time is exponential at a rate of one service every 8 minutes.

1. a. Determine the system utilization, the average amount of time a customer spends in the system, and the average number of customers in the system.
2. b. Suppose a local festival is expected to increase customer arrivals by 20%. Determine the corresponding impact on results presented in part (a).
3. c. Given outcomes demonstrated in (a) and (b), how would you characterize the average number of customers and expected time in the system using the relationship between arrivals and service times?