Problem 11-34 (Algorithmic) Five administrative assistants use an office copier. The average time between arrivals for each assistant is 30 minutes, which is equivalent to an arrival rate of 1/30 = 0.033 arrivals per minute. The mean time each assistant spends at the copier is 5 minutes, which is equivalent to a service rate of 1/5 = 0.2 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. Round your answer to four decimal places. Po = b. The average number of administrative assistants in the waiting line. Round your answer to four decimal places. La c. The average number of administrative assistants at the copier. Round your answer to four decimal places. L = d. The average time an assistant spends waiting for the copier. Round your answer to four decimal places. W = min e. The average time an assistant spends at the copier. Round your answer to four decimal places. W = 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 one decimal place. Time at Copier: minutes/day Wait time at Copier: minutes/day g. Should management consider purchasing a second copier? Explain. Round your answer to one decimal place. % of each administrative assistant's day is spent waiting for the copier