Simulate a clinic where patients arrive at a rate of 2.5 per hour following a Poisson distribution. The time that it takes for a patient to be checked by a doctor follows a Triangular distribution with a min of 40 min, mode of 60 min, and a max of 100 min. There are 3 doctors available within the clinic. Simulate this clinic for a single replication of 5000 hours. (Upload your Simio/ Arena file as an attachment)

1. What would the expected wait time in queue for a patient?
2. What is the theoretical utilization? Compare it with the scheduled utilization value after running the model.
3. The management is concerned with the amount of time a patient has to wait in the queue before a doctor can attend her. If they decide that the allowable % of patients who have to wait in the queue for more than an hour should be less than 5%, then how many doctors should they employ in the clinic? What is the new value for the expected wait time in queue for a patient?