C Use the following information for questions 16-19. Consider a medical clinic that can be modeled...

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C Use the following information for questions 16-19. Consider a medical clinic that can be modeled as a G/G/1 queue, where the waiting room acts as a buffer and the doctor acts as the server. It takes an average of 24 minutes for the doctor to process a patient (e.g., measure vitals, perform tests, etc), with a standard deviation of 30 minutes. On average, 2 patients arrive every hour, and the standard deviation of inter-arrival times is 10 minutes. Due to Covid restrictions, the clinic is trying to limit the number of patients in the waiting room. They are determining if they should schedule patients or hire a second doctor. Notes: Each question is independent. In particular, ignore Question 17 when answering Question 18, and ignore Questions 17 and 18 when answering Question 19. For questions 16, 17, and 19, input your answer in number of patients; that is, if your answer is 100.25 patients, then input 100.25. Show Transcribed Text The clinic schedules the patients so that exactly one patient arrives every x minutes (i.e., no variability in inter-arrival times), where x is yet to be determined. On one hand, the clinic wants at most 1 person in the waiting room on average. On the other hand, the clinic does not want to spread patients too far apart. What is the smallest x such that the average number of patients in the waiting room is at most 1? C Use the following information for questions 16-19. Consider a medical clinic that can be modeled as a G/G/1 queue, where the waiting room acts as a buffer and the doctor acts as the server. It takes an average of 24 minutes for the doctor to process a patient (e.g., measure vitals, perform tests, etc), with a standard deviation of 30 minutes. On average, 2 patients arrive every hour, and the standard deviation of inter-arrival times is 10 minutes. Due to Covid restrictions, the clinic is trying to limit the number of patients in the waiting room. They are determining if they should schedule patients or hire a second doctor. Notes: Each question is independent. In particular, ignore Question 17 when answering Question 18, and ignore Questions 17 and 18 when answering Question 19. For questions 16, 17, and 19, input your answer in number of patients; that is, if your answer is 100.25 patients, then input 100.25. Show Transcribed Text The clinic schedules the patients so that exactly one patient arrives every x minutes (i.e., no variability in inter-arrival times), where x is yet to be determined. On one hand, the clinic wants at most 1 person in the waiting room on average. On the other hand, the clinic does not want to spread patients too far apart. What is the smallest x such that the average number of patients in the waiting room is at most 1?