Solve the below:
Q: A priority waiting system assigns arriving customers to one of four classes. Arrival rates (Poisson) of the classes are shown in the following table:
Class Arrivals per Hour
1 6
2 4
3 6
4 5
Five servers process the customers, and each can handle 6 customers per hour.
a. What is the system utilization? (Round your answer to 2 decimal places.)
b. What is the average wait for service by customers in the various classes? How many are waiting in each class, on average?
If the arrival rate of the second priority class could be reduced to 3 units per hour by shifting some arrivals into the third priority class, how would your answers to part b change?