Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.2 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. The consultant averages 10 minutes with each customer. (a) Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times. (Round your answers to four decimal places. Report time in hours.) λ = μ = La = L = Wa W = Pw = = La Wa (b) Service goals dictate that an arriving customer should not wait for service more than an average of 5 minutes. Is this goal being met? (Round your answer to one decimal place.) W₁ (in minutes) = min, which is ---Select--than the desired wait time, so the goal ---Select--- ✓ met. What action do you recommend? (Select all that apply.) There is no need to change the current operating parameters. Increase the mean service rate. Decrease the mean service rate. Hire another consultant. Increase the hours of operation. (c) If the consultant can reduce the average time spent per customer to 7 minutes, what is the mean service rate? (Round your answers to four decimal places. Report time in hours.) μ = h h = = h Will the service goal be met? (Round your answer to one decimal place.) W (in minutes) = min, which is ---Select--- than the desired wait time, so the goal ---Select--- met.
Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.2 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. The consultant averages 10 minutes with each customer. (a) Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times. (Round your answers to four decimal places. Report time in hours.) λ = μ = La = L = Wa W = Pw = = La Wa (b) Service goals dictate that an arriving customer should not wait for service more than an average of 5 minutes. Is this goal being met? (Round your answer to one decimal place.) W₁ (in minutes) = min, which is ---Select--than the desired wait time, so the goal ---Select--- ✓ met. What action do you recommend? (Select all that apply.) There is no need to change the current operating parameters. Increase the mean service rate. Decrease the mean service rate. Hire another consultant. Increase the hours of operation. (c) If the consultant can reduce the average time spent per customer to 7 minutes, what is the mean service rate? (Round your answers to four decimal places. Report time in hours.) μ = h h = = h Will the service goal be met? (Round your answer to one decimal place.) W (in minutes) = min, which is ---Select--- than the desired wait time, so the goal ---Select--- met.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.CR: Chapter 1 Review
Problem 86CR
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Transcribed Image Text:Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.2 customers arrive each hour. One design consultant is available to
answer customer questions and make product recommendations. The consultant averages 10 minutes with each customer.
(a) Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times. (Round your answers to four decimal places. Report time in
hours.)
λ =
μ =
L =
Wa
W =
Pw
W
=
(b) Service goals dictate that an arriving customer should not wait for service more than an average of 5 minutes. Is this goal being met? (Round your answer to one decimal place.)
W₁ (in minutes) =
min, which is ---Select--- than the desired wait time, so the goal ---Select--- ✓ met.
h
What action do you recommend? (Select all that apply.)
There is no need to change the current operating parameters.
Increase the mean service rate.
Decrease the mean service rate.
Wa
Hire another consultant.
Increase the hours of operation.
(c) If the consultant can reduce the average time spent per customer to 7 minutes, what is the mean service rate? (Round your answers to four decimal places. Report time in hours.)
μ =
La =
=
h
Will the service goal be met? (Round your answer to one decimal place.)
W (in minutes) =
min, which is ---Select--- than the desired wait time, so the goal ---Select--- ✓ met.
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