dolution

L. Winston Martin (an
allergist) has an excellent system for handling his regular patients who come
in just for allergy injections. Patients arrive for an injection and fill out a
name slip, which is then placed in an open slot that passes into another room
staffed by up to three nurses. The specific injections for a patient are
prepared, and the patient is called through a speaker system into the room to
receive the injection. At certain times during the day, patient load drops and
only one nurse is needed to administer the injections. Let’s focus on the
simpler case of the two-namely, when there is one nurse. Also, assume that
patients arrive in a Poisson fashion and the service rate of the nurse is
exponentially distributed. During this slower period, patients arrive with an
interarrival time of approximately 4 minutes. It takes the nurse an average of
2.80 minutes to prepare the patients’ serum and administer the injection. (Use
the Excel spreadsheet Queue Models.)

a. What is the average
number of patients you would expect to see in Dr. Martin’s facilities? (Do not
round intermediate calculations. Round your answer to 2 decimal places.)

Average number of
patients

b. How long would it take for a patient to
arrive, get an injection, and leave? (Round your answer to 2 decimal places.) a

Average total time minues