A lab provides ultrasound service to patients. The service process consists of two steps: 1. Registration. Performed by a receptionist (Salary rate = $25/hr; Process time = 6 minutes/patient) 2. Ultrasound scan. Performed by a technician (Salary rate = $30/hr; Process time 20 minutes/patient) Note that the ultrasound images need to be read by radiologists, but we assume that they have an ample capacity and thus will not model the role in the service process. Currently, the lab has 2 receptionists and 3 technicians. The manager anticipates demand to grow to 14 patients/hr in the near future. Thus, he plans to hire more receptionists and/or technicians to increase the service capacity to at least 14 patients/hr. What would be the extra payroll cost (in dollars per hr)?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 26P
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A lab provides ultrasound service to patients. The service process consists of two
steps:
1. Registration. Performed by a receptionist (Salary rate = $25/hr; Process time
= 6 minutes/patient)
2. Ultrasound scan. Performed by a technician (Salary rate = $30/hr; Process
time = 20 minutes/patient)
Note that the ultrasound images need to be read by radiologists, but we assume that
they have an ample capacity and thus will not model the role in the service process.
Currently, the lab has 2 receptionists and 3 technicians. The manager anticipates
demand to grow to 14 patients/hr in the near future. Thus, he plans to hire more
receptionists and/or technicians to increase the service capacity to at least 14
patients/hr. What would be the extra payroll cost (in dollars per hr)?
Transcribed Image Text:A lab provides ultrasound service to patients. The service process consists of two steps: 1. Registration. Performed by a receptionist (Salary rate = $25/hr; Process time = 6 minutes/patient) 2. Ultrasound scan. Performed by a technician (Salary rate = $30/hr; Process time = 20 minutes/patient) Note that the ultrasound images need to be read by radiologists, but we assume that they have an ample capacity and thus will not model the role in the service process. Currently, the lab has 2 receptionists and 3 technicians. The manager anticipates demand to grow to 14 patients/hr in the near future. Thus, he plans to hire more receptionists and/or technicians to increase the service capacity to at least 14 patients/hr. What would be the extra payroll cost (in dollars per hr)?
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