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The parts department of a large automobile dealership has a counter used exclusively for mechanics' requests for parts. The time between requests can be modeled by a negative exponential distribution. Customers arrive at a rate of 12 per hour. A clerk can handle requests at a rate of 10 per hour, and this can be modeled by a Poisson distribution Clerks cost $25 per hour and mechanics cost $25 per hour. Use Table 18-4. a. Determine the cost of capacity and waiting if the parts department hires 2, 3 or 4 clerks. (Round Ls to 3 decimals. Round costs to 2 decimals.) Average number of mechanics in system (Ls) Cost for clerks per Mechanic cost Number of clerks (M) Total cost per hour hour per hour 2 3 4 b. Based on your response in part a, how many clerks should be hired? Number of clerks

The parts department of a large automobile dealership has a counter used exclusively for mechanics' requests for parts. The time between requests can be modeled by a negative exponential distribution. Customers arrive at a rate of 12 per hour. A clerk can handle requests at a rate of 10 per hour, and this can be modeled by a Poisson distribution Clerks cost $25 per hour and mechanics cost $25 per hour. Use Table 18-4. a. Determine the cost of capacity and waiting if the parts department hires 2, 3 or 4 clerks. (Round Ls to 3 decimals. Round costs to 2 decimals.) Average number of mechanics in system (Ls) Cost for clerks per Mechanic cost Number of clerks (M) Total cost per hour hour per hour 2 3 4 b. Based on your response in part a, how many clerks should be hired? Number of clerks

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 9P
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The parts department of a large automobile dealership has a counter used exclusively for mechanics' requests for parts. The time between requests can be modeled by a negative exponential distribution. Customers arrive at a rate of 12 per hour. A clerk can handle requests at a rate of 10 per hour, and this can be modeled by a Poisson distribution Clerks cost $25 per hour and mechanics cost $25 per hour. Use Table 18-4. a. Determine the cost of capacity and waiting if the parts department hires 2, 3 or 4 clerks. (Round Ls to 3 decimals. Round costs to 2 decimals.) Average number of mechanics in system (Ls) Cost for clerks per Mechanic cost Number of clerks (M) Total cost per hour hour per hour 2 3 4 b. Based on your response in part a, how many clerks should be hired? Number of clerks
Transcribed Image Text:The parts department of a large automobile dealership has a counter used exclusively for mechanics' requests for parts. The time between requests can be modeled by a negative exponential distribution. Customers arrive at a rate of 12 per hour. A clerk can handle requests at a rate of 10 per hour, and this can be modeled by a Poisson distribution Clerks cost $25 per hour and mechanics cost $25 per hour. Use Table 18-4. a. Determine the cost of capacity and waiting if the parts department hires 2, 3 or 4 clerks. (Round Ls to 3 decimals. Round costs to 2 decimals.) Average number of mechanics in system (Ls) Cost for clerks per Mechanic cost Number of clerks (M) Total cost per hour hour per hour 2 3 4 b. Based on your response in part a, how many clerks should be hired? Number of clerks
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