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CMA Final · Strategic Cost Management · Simulation

In a single-server queue simulation at a Pune service counter, four customers arrive at minutes 0, 2, 3 and 8, with service times of 4, 3, 2 and 1 minutes respectively. Service is first-come, first-served. What is the average waiting time in the queue per customer?

The average wait is 1.75 minutes. Customers wait 0, 2, 4 and 1 minutes before service starts, since the server finishes at minutes 4, 7, 9 and 10. The total wait of 7 minutes divided by 4 customers gives 1.75 minutes.

  1. A1.75 minutesCorrect
  2. B2.00 minutes
  3. C1.50 minutes
  4. D7.00 minutes

Explanation

C1 is served 0-4 with no wait. C2 starts at 4 and waits 2. C3 starts at 7 and waits 4. C4 starts at 9 and waits 1. Total wait is 7 minutes, so the average over 4 customers is 1.75. The figure 7.00 is the total, not the average.

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