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What fraction of the time will the doctor be idle

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Reference no: EM132813512

As a free service (benefit) to its employees, a large consulting firm has an in-house medical clinic so that employees can consult a doctor at work. The clinic is staffed by one doctor. A Marshall intern has estimated that patients will arrive throughout the day at an average rate of 5 patients per hour, and that the standard deviation of the time between arrivals is 4 minutes. She has also determined that the average time the doctor spends with a patient is 10 minutes, and that the doctor's service times are exponentially distributed.

a) Calculate the following quantities for this system: the inter-arrival time (in minutes), service time (in minutes), CVa, CVp, number of servers, and utilization. (Show your work.)

b) What fraction of the time will the doctor be idle? (Show your work.)

c) How much time (minutes) will an average patient spend at the clinic? (Show your work.)

d) Suppose the average salary of an employee (patient) is $50,000 per year. Assuming 250 working days per year and 8 hours per day, what is the implicit cost per day (or the salary-value per day) of employee time spent at the clinic that the company has to bear? (Show your work.)

Reference no: EM132813512

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