What is the utilization of the clinic? State your answer as a percentage with at least three decimal points, e.g., 50.000

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section: Chapter Questions
Problem 59P
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The University Health System is opening a new urgent care clinic on campus. This clinic is designed to take some of the load off the hospital emergency department and other primary care providers by providing a 24 hour a day, walk-in, no appointment clinic where members of the university community can be seen for mild ailments. During the overnight hours (11 pm - 7 am), DUHS plans to staff the clinic with a single care team consisting of a nurse practitioner (NP) and an administrative assistant. The NP can only care for one patient at a time, and historical DUHS data shows that service time with the NP follows an exponential distribution with an average of 10 minutes. DUHS expects that 4 patients per hour will visit the clinic during this time, and arrivals are likely to follow a Poisson process. Answer each of the following questions for the overnight hours.

26. What is the utilization of the clinic? State your answer as a percentage with at least three decimal points, e.g., 50.000 (for 50% utilization).

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