What is the utilization of service system

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A college cafeteria has a single checkout lane by a single cashier. Students arrive at the cash register at the average rate of 30 per hour during peak lunch hour. It takes an average of 1.5 mins to check out each students tray. Assume that arrival rate follows a passion distribution and service time follows an exponential distribution.

  • What is the utilization of this service system?
  • What is the average number of students in line?
  • What is the average time that each student spends in the system?
  • How much will the average waiting time in life of there were two counters, each taking 1.5 minutes to check out?

Reference no: EM132216397

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