An Introduction to Management Science 13th Edition by David Anderson,Dennis Sweeney ,Thomas Williams ,Jeffrey Camm, Kipp Martin

Exercise 26

Five administrative assistants use an office copier. The average time between arrivals for each assistant is 40 minutes, which is equivalent to an arrival rate of 1/40 = 0.025 arrival alent to a service rate of per minute. Use the M / M /1 model with a finite calling population to determine the following:
a. The probability that the copier is idle
b. The average number of administrative assistance in the waiting line
c. The average number of administrative assistance at the copier
d. The average time an assistance spends waiting for the copier
e. The average time an assistance spends at the copier
f. During an 8-hour day, how many minutes does an assistant spend at the copier? How much of this time is waiting time?
g. Should management consider purchasing a second copier? Explain.