Given info:All patients who arrive to the Emergency Department (ED) of Cleanland Clinic first go to Registration and then to Triage. Triage is staffed by two nurses: Gary and Elena. Triage is using a single line and patients are served on a first-come-first-serve basis.Patients arrive at an average of one every 30 minutes, and their requests take on average 20 minutes to be processed at Triage. Assume Poisson arrivals and exponential service times. W

b) Triage is considering creating two separate lines, the first for patients with surnames starting with a letter in the range A-M, the second for N-Z. Each line would have a Triage nurse dedicated to serve only that line of patients. What effect do you think creating these dedicated lines will have on the average waiting time experienced by patients at Triage? (i.e., will the waiting time remain the same, increase or decrease?) You may assume that the average patient arrival rates to each line would be the roughly the same. Justify your answer by showing your work (Calculate the average waiting time). (10 points)