Problem:
Cars arrive at a local oil change franchise at the rate of 1 every 10 minutes. Service times are exponentially distributed with an average of 12 minutes. The owner has decided to open a second work bay, i.e., make the shop into a two-channel system. Under this new scheme, answer the following questions:
Required:
Question: What is the average time a customer spends in the system and how long does the average customer spend waiting for service.
Note: Show all workings.