A new clothing store has opened. suppose that customers arrive at a rate of 60 per hour (Poisson-distributed) and that the completion time for customer's order is modeled by exponential distribution with mean 150 seconds, independent and identical for each customer. there are 3 servers with 3 independent waiting lines, and there is a barrier to ensure the customers don't move from one line to the next (no jockeying)

a) what is the average total system size? assume steady state conditions exist

(b) Management has had a meeting and decided to make changes. Now, the barriers have been removed and there is one line feeding three servers. What is the steady-state system size now?