Gubser Welding Inc. operates a welding service for construction and automotive repair jobs. Assume that the arrival of jobs at the company's office can be described by a Poisson probability distribution with an arrival rate of two jobs per 8-hour day. The time required to complete the jobs follows a normal probability distribution, with a mean time of 3.2 hours and a standard deviation of 2 hours. Answer the following questions, assuming that Gubser uses one welder to complete all jobs: a. What is the mean arrival rate in jobs per hour? b. What is the mean service rate in jobs per hour? c. What is the average number of jobs waiting for service? d. What is the average time a job waits before the welder can begin working on it? e. What is the average number of hours between when a job is received and when it is completed? f. What percentage of the time is Gubser's welder busy?

Principles of Accounting Volume 2
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ISBN:9781947172609
Author:OpenStax
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Chapter2: Building Blocks Of Managerial Accounting
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Gubser Welding Inc. operates a welding service for construction and
automotive repair jobs. Assume that the arrival of jobs at the company's office
can be described by a Poisson probability distribution with an arrival rate of two
jobs per 8-hour day. The time required to complete the jobs follows a normal
probability distribution, with a mean time of 3.2 hours and a standard deviation
of 2 hours. Answer the following questions, assuming that Gubser uses one
welder to complete all jobs:
a. What is the mean arrival rate in jobs per hour?
b. What is the mean service rate in jobs per hour?
c. What is the average number of jobs waiting for service?
d. What is the average time a job waits before the welder can begin
working on it?
e. What is the average number of hours between when a job is
received and when it is completed?
f. What percentage of the time is Gubser's welder busy?
Transcribed Image Text:Gubser Welding Inc. operates a welding service for construction and automotive repair jobs. Assume that the arrival of jobs at the company's office can be described by a Poisson probability distribution with an arrival rate of two jobs per 8-hour day. The time required to complete the jobs follows a normal probability distribution, with a mean time of 3.2 hours and a standard deviation of 2 hours. Answer the following questions, assuming that Gubser uses one welder to complete all jobs: a. What is the mean arrival rate in jobs per hour? b. What is the mean service rate in jobs per hour? c. What is the average number of jobs waiting for service? d. What is the average time a job waits before the welder can begin working on it? e. What is the average number of hours between when a job is received and when it is completed? f. What percentage of the time is Gubser's welder busy?
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