A hair salon provides low-cost haircuts at a shopping center in Boise, Idaho. During the day, customers arrive at an average rate of 8 per hour following a Poisson distribution. After a customer is in a cosmetician's chair, it takes an average of 21 minutes for the haircut to be completed, with the actual service time following an exponential distribution. (Round your answers to four decimal places.) (a) If there are 3 cosmetician's on duty, how many customers are typically waiting for service? ______ customers How long will customers have to wait on average (in minutes) before receiving service? ______ minutes (b) If there are 4 cosmetician's on duty, how many customers are typically waiting for service? ______ customers How long will customers have to wait on average (in minutes) before receiving service? ______ minutes (c) If there are 5 cosmetician's on duty, how many customers are typically waiting for service? ______ customers How long will customers have to wait on average (in minutes) before receiving service? ______ minutes (d) If you managed this store, how many cosmetician's would you employ and why?
A hair salon provides low-cost haircuts at a shopping center in Boise, Idaho. During the day, customers arrive at an average rate of 8 per hour following a Poisson distribution. After a customer is in a cosmetician's chair, it takes an average of 21 minutes for the haircut to be completed, with the actual service time following an exponential distribution. (Round your answers to four decimal places.) (a) If there are 3 cosmetician's on duty, how many customers are typically waiting for service? ______ customers How long will customers have to wait on average (in minutes) before receiving service? ______ minutes (b) If there are 4 cosmetician's on duty, how many customers are typically waiting for service? ______ customers How long will customers have to wait on average (in minutes) before receiving service? ______ minutes (c) If there are 5 cosmetician's on duty, how many customers are typically waiting for service? ______ customers How long will customers have to wait on average (in minutes) before receiving service? ______ minutes (d) If you managed this store, how many cosmetician's would you employ and why?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A hair salon provides low-cost haircuts at a shopping center in Boise, Idaho. During the day, customers arrive at an average rate of 8 per hour following a Poisson distribution. After a customer is in a cosmetician's chair, it takes an average of 21 minutes for the haircut to be completed, with the actual service time following an exponential distribution. (Round your answers to four decimal places.)
(a) If there are 3 cosmetician's on duty, how many customers are typically waiting for service?
______ customers
How long will customers have to wait on average (in minutes) before receiving service?
______ minutes
(b) If there are 4 cosmetician's on duty, how many customers are typically waiting for service?
______ customers
How long will customers have to wait on average (in minutes) before receiving service?
______ minutes
(c) If there are 5 cosmetician's on duty, how many customers are typically waiting for service?
______ customers
How long will customers have to wait on average (in minutes) before receiving service?
______ minutes
(d) If you managed this store, how many cosmetician's would you employ and why?
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