Problem 4 (25 points) Consider an Urgent Care (UC) comprising three doctors and one nurse to serve patients during the day. On a typical day, the interarrival time is Exponentially distributed with a mean of 6 minutes. 25% of patients are high-priority, and the remaining are low-priority. Upon arrival at UC, the patients are triaged by a nurse into one of the two types of patients. The service time for triage is distributed by Triangular distribution with min = 3, max = 10, and the most likely value = 5 minutes. Then, the patients wait in the waiting room and get called to visit doctors on a first- come-first-served basis. If more than 10 people are waiting for service, an arriving patient will exit before being triaged. Finally, low-priority patients may depart if they have to wait longer than 20+5 minutes (Uniformly distributed) after triage. The doctor service time distributions are given as follows. Priority Service Time Distribution (in Minutes) High Low Normal(mean = 40, sd = 5) Gamma(shape = 15, rate = 1) Assuming that the UC opens at 8 hours, simulate the process for 50 replications. The UC would like to estimate the following: (a) the average flow time of each type of patient. (b) the probability that low-priority patients balk.