In a bustling fast-food restaurant, two servers, Server 1 and Server 2, handle customer arrivals from outside the restaurant. Server 1 experiences an average arrival rate of 8 customers per hour, while Server 2 sees an average arrival rate of 17 customers per hour. Server 1 operates at an exponential service rate of 20 customers per hour, while Server 2 operates at a rate of 30 customers per hour. After completing service at Server 1, half of the customers leave the system, while the other half proceed to Server 2. Upon completion of service at Server 2, three-quarters of the customers leave the system, and one-quarter return to Server 1 for additional service.

a.What is the expected number of customers on server 2?

b.What is the average time a customer spends at a restaurant?

c.What is the proportion of time during which Server 1 remains idle while Server 2 is actively serving customers?