Please answer the following:

Question 15. What is the average processing time (in minutes) of Category 1 patients?

Question 16. What is the average processing time (in minutes) of Category 2 patients?

Question 17. What is the average processing time (in minutes) of Category 3 patients?

Question 18. What is the average processing time (in minutes) of a random patient?

Question 19. What is the average flow time (in minutes) through the clinic of Category 1 patients?

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Please place each of your answers inside the rectangular box that follows each question. A family-practice medical clinic employs two receptionists, three nurse clinicians, and one physician. The receptionists (RSs) have been trained to screen patients with regard to whether they should see a nurse clinician (NC) or the physician (MD). There are, of course, some errors, so the NCs see some patients who must then go and see the MD. The accompanying diagram shows the flow of patients. Currently, there are three queues in the clinic: the receptionist queue consisting of patients waiting to see a receptionist, the nurse clinician queue consisting of patients waiting to see a nurse clinician, and the physician queue consisting of patients waiting to see the physician. The three queues are managed independently with a first-come, first-served priority at each queue. That is, the two receptionists share a queue on a 'first RS available' basis. Similarly, the three NCs share a queue on a 'first NC available' basis. Assume that all interarrival times for patients arriving at any of the three queues in this clinic have coefficient of variation equal to 1 . Note that there are three categories of patients based on the route or path that patients take through the clinic. Category 1 patients see a receptionist followed by a nurse clinician. Category 2 patients see a receptionist followed by the physician. Category 3 patients see a receptionist followed by a nurse clinician followed by the physician. Consider the clinic in steady state. In answering all questions, unless instructed otherwise, report two significant figures after the decimal point