The Bijou Theater shows vintage movies. Customers arrive at the theater line at the rate of 100 per hour. The ticket seller averages 30 seconds per customer, which includes placing validation stamps on customers' parking lot receipts and punching their frequent watcher cards. (Because of these added services, many customers don't get in until after the feature has started.) Use Exhibit 10.9. a. What is the average customer time in the system? (Round your answer to 2 decimal places.) Answer is complete and correct. 3.00 minutes Average customer time b. What would be the effect on customer time in the system of having a second ticket taker doing nothing but validations and card punching, thereby cutting the average service time to 20 seconds? (Round your answer to 3 decimal places.) Answer is complete and correct. 0.750 minutes Average time in system

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 26P
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Can you assist me with question 5 (c-1)  I've made attempts to solve but still don't understand. Can you please write the process out step by step? It's easier to follow along. Thank you kindly

The Bijou Theater shows vintage movies. Customers arrive at the theater line at the rate of 100 per hour. The ticket seller averages 30
seconds per customer, which includes placing validation stamps on customers' parking lot receipts and punching their frequent
watcher cards. (Because of these added services, many customers don't get in until after the feature has started.) Use Exhibit 10.9.
a. What is the average customer time in the system? (Round your answer to 2 decimal places.)
Answer is complete and correct.
3.00 minutes
Average customer time
b. What would be the effect on customer time in the system of having a second ticket taker doing nothing but validations and card
punching, thereby cutting the average service time to 20 seconds? (Round your answer to 3 decimal places.)
Answer is complete and correct.
0.750 minutes
Average time in system
Transcribed Image Text:The Bijou Theater shows vintage movies. Customers arrive at the theater line at the rate of 100 per hour. The ticket seller averages 30 seconds per customer, which includes placing validation stamps on customers' parking lot receipts and punching their frequent watcher cards. (Because of these added services, many customers don't get in until after the feature has started.) Use Exhibit 10.9. a. What is the average customer time in the system? (Round your answer to 2 decimal places.) Answer is complete and correct. 3.00 minutes Average customer time b. What would be the effect on customer time in the system of having a second ticket taker doing nothing but validations and card punching, thereby cutting the average service time to 20 seconds? (Round your answer to 3 decimal places.) Answer is complete and correct. 0.750 minutes Average time in system
c-1. What would be the customer time in the system if a second window was opened with each ticket seller doing all three tasks? (Use
closest A/μ value from Exhibit 10.9. Do not round intermediate calculations. Round your answer to 3 decimal places.)
Answer is complete but not entirely correct.
19.000
minutes
Average time in system
c-2. Would system waiting time which is obtained in part (c-1) be less than you found in (b)?
Yes
O No
Transcribed Image Text:c-1. What would be the customer time in the system if a second window was opened with each ticket seller doing all three tasks? (Use closest A/μ value from Exhibit 10.9. Do not round intermediate calculations. Round your answer to 3 decimal places.) Answer is complete but not entirely correct. 19.000 minutes Average time in system c-2. Would system waiting time which is obtained in part (c-1) be less than you found in (b)? Yes O No
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