Homework 6 Name: Please write the steps that led you to your answer in detail. Full points will be given to those that provide the correct intermediary steps and the answers. This homework is based on the mini case described in Q1. Please fill numbers for all questions (e.g., without symbols like "%" or "$"), and please round up to two digits after decimal unless otherwise specified. Q1 An urgent care clinic has three doctors. The clinic uses one doctor to treat "healthier" patients and two doctors to treat "sicker" patients. When treating sicker patients, a doctor can treat 10 patients per hour; when treating healthier patients, a doctor can treat 15 patients per hour. The time it takes to treat a patient (either healthier or sicker) is exponentially distributed. Patient arrival in the morning is described as follows. The time between two successive arrivals of sicker patients is always 5 minutes. The time between two successive arrivals of healthier patients is exponentially distributed, with an average of 10 minutes. When a patient arrives the clinic, the nurse checks the patient's condition and assigns the patient a position in queue (to see a doctor) on a first-come-first-serve basis. Fill the following table for the sicker patients in the morning. Fill integer numbers. For the utilization, fill an integer number without the "%" symbol. a (avg, inter- p (avg. m (number arrival time, service time, of servers) u (avg utilization) CV. (coef. of CV, (coef. of var.- arrival) var.-service) in minutes) in minutes)