14. Customers arrive at the First Western drive-in window at a rate of 10 per hour...
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14. Customers arrive at the First Western drive-in window at a rate of 10 per hour during regular periods. The average inter-arrival time during peak hours is 4 minutes. The aver- age service time is 4, 1 minute. Determine: a) The probability a customer is in the system 12 or fewer minutes during a period of regular demand. b) The probability of finding fewer than six customers in the system during a period of regular demand. c) First Western wants to implement a policy that any customer who arrives during peak time will not have to wait (prior to service), on the average, more than 10 min- utes. Is this goal achievable today? If not, determine what service rate is necessary to attain this goal. d) The operation of the drive-in window costs $20 an hour. The estimated loss due to decreased goodwill, because of the time spent in line, is figured at $1 per hour per customer. Management can expedite the service time to 3 minutes per customer at a cost of $15 per hour. Would you recommend it for the regular hours? For the peak hours? Why or why not? 14. Customers arrive at the First Western drive-in window at a rate of 10 per hour during regular periods. The average inter-arrival time during peak hours is 4 minutes. The aver- age service time is 4, 1 minute. Determine: a) The probability a customer is in the system 12 or fewer minutes during a period of regular demand. b) The probability of finding fewer than six customers in the system during a period of regular demand. c) First Western wants to implement a policy that any customer who arrives during peak time will not have to wait (prior to service), on the average, more than 10 min- utes. Is this goal achievable today? If not, determine what service rate is necessary to attain this goal. d) The operation of the drive-in window costs $20 an hour. The estimated loss due to decreased goodwill, because of the time spent in line, is figured at $1 per hour per customer. Management can expedite the service time to 3 minutes per customer at a cost of $15 per hour. Would you recommend it for the regular hours? For the peak hours? Why or why not?
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Quiz a We can use the ErlangC formula to calculate the probability that a customer is in the system ... View the full answer
Related Book For
Basic Business Statistics Concepts and Applications
ISBN: 978-0132168380
12th edition
Authors: Mark L. Berenson, David M. Levine, Timothy C. Krehbiel
Posted Date:
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