12 of Five administrative assistants use an office copier. The average time between arrivals for each assistant is 39 minutes, which is equivalent to an arrival rate 1 arrivals per minute. The mean time each assistant spends at the copier is 6 minutes, which is equivalent to a service rate of per minute. Use the 39 M/M/1 model with a finite calling population to determine the following. 1 (a) The probability that the copier is idle. (Round your answer to four decimal places.) (b) The average number of administrative assistants in the waiting line. (Round your answer to four decimal places.) (c) The average number of administrative assistants at the copier. (Round your answer to four decimal places.) (d) The average time (in minutes) an assistant spends waiting for the copier. (Round your answer to two decimal places.) min (e) The average time (in minutes) an assistant spends at the copier. (Round your answer to two decimal places.) min (f) During an 8-hour day, how many minutes does an assistant spend at the copier? How much of this time is waiting time? (Round your answers to two decimal places.) total time waiting time min min (g) Should management consider purchasing a second copier? Explain. (Round your answer to two decimal places.) A total of % of the administrative team's time is spent waiting for the office copier. If the sole objective of management were to reduce non-productive waiting time, then management ---Select--- consider purchasing a second copier.
12 of Five administrative assistants use an office copier. The average time between arrivals for each assistant is 39 minutes, which is equivalent to an arrival rate 1 arrivals per minute. The mean time each assistant spends at the copier is 6 minutes, which is equivalent to a service rate of per minute. Use the 39 M/M/1 model with a finite calling population to determine the following. 1 (a) The probability that the copier is idle. (Round your answer to four decimal places.) (b) The average number of administrative assistants in the waiting line. (Round your answer to four decimal places.) (c) The average number of administrative assistants at the copier. (Round your answer to four decimal places.) (d) The average time (in minutes) an assistant spends waiting for the copier. (Round your answer to two decimal places.) min (e) The average time (in minutes) an assistant spends at the copier. (Round your answer to two decimal places.) min (f) During an 8-hour day, how many minutes does an assistant spend at the copier? How much of this time is waiting time? (Round your answers to two decimal places.) total time waiting time min min (g) Should management consider purchasing a second copier? Explain. (Round your answer to two decimal places.) A total of % of the administrative team's time is spent waiting for the office copier. If the sole objective of management were to reduce non-productive waiting time, then management ---Select--- consider purchasing a second copier.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Five administrative assistants use an office copier. The average time between arrivals for each assistant is 39 minutes, which is equivalent to an arrival rate
1
of arrivals per minute. The mean time each assistant spends at the copier is 6 minutes, which is equivalent to a service rate of
39
²
M/M/1 model with a finite calling population to determine the following.
(a) The probability that the copier is idle. (Round your answer to four decimal places.)
(b) The average number of administrative assistants in the waiting line. (Round your answer to four decimal places.)
(c) The average number of administrative assistants at the copier. (Round your answer to four decimal places.)
(d) The average time (in minutes) an assistant spends waiting for the copier. (Round your answer to two decimal places.)
min
(e) The average time (in minutes) an assistant spends at the copier. (Round your answer to two decimal places.)
min
per minute. Use the
(f) During an 8-hour day, how many minutes does an assistant spend at the copier? How much of this time is waiting time? (Round your answers to two
decimal places.)
total time
waiting time
min
min
(g) Should management consider purchasing a second copier? Explain. (Round your answer to two decimal places.)
A total of
% of the administrative team's time is spent waiting for the office copier. If the sole objective of management were to reduce
non-productive waiting time, then management ---Select--- consider purchasing a second copier.
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