Homework Help is Here – Start Your Trial Now!
Math
Statistics
53. Assemblers at a job-shop are required to submit materials requisition forms in person to a store clerk at the warehouse to get parts for their current project. The requests for parts are modeled by an exponential distribution with a mean of 15 minutes. A store clerk can handle 10 requests per hour. Answer the following questions assuming that there is 2 clerks on duty. a. On average, how many assemblers would be at the counter, including those being served? b. What is the probability that an assembler would have to wait for service? c. If an assembler has to wait, how long would the average wait in line be? d. What percentage of time are the clerks idle? e. If clerks cost $20 per hour and assemblers cost $40 per hour, what number of clerks would be optimal in terms of minimizing cost?

53. Assemblers at a job-shop are required to submit materials requisition forms in person to a store clerk at the warehouse to get parts for their current project. The requests for parts are modeled by an exponential distribution with a mean of 15 minutes. A store clerk can handle 10 requests per hour. Answer the following questions assuming that there is 2 clerks on duty. a. On average, how many assemblers would be at the counter, including those being served? b. What is the probability that an assembler would have to wait for service? c. If an assembler has to wait, how long would the average wait in line be? d. What percentage of time are the clerks idle? e. If clerks cost $20 per hour and assemblers cost $40 per hour, what number of clerks would be optimal in terms of minimizing cost?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question

Please solve all the parts

53. Assemblers at a job-shop are required to submit materials requisition forms in person to a store clerk at the warehouse to get parts for their current project. The requests for parts are modeled by an exponential distribution with a mean of 15 minutes. A store clerk can handle 10 requests per hour. Answer the following questions assuming that there is 2 clerks on duty. a. On average, how many assemblers would be at the counter, including those being served? b. What is the probability that an assembler would have to wait for service? c. If an assembler has to wait, how long would the average wait in line be? d. What percentage of time are the clerks idle? e. If clerks cost $20 per hour and assemblers cost $40 per hour, what number of clerks would be optimal in terms of minimizing cost?
Transcribed Image Text:53. Assemblers at a job-shop are required to submit materials requisition forms in person to a store clerk at the warehouse to get parts for their current project. The requests for parts are modeled by an exponential distribution with a mean of 15 minutes. A store clerk can handle 10 requests per hour. Answer the following questions assuming that there is 2 clerks on duty. a. On average, how many assemblers would be at the counter, including those being served? b. What is the probability that an assembler would have to wait for service? c. If an assembler has to wait, how long would the average wait in line be? d. What percentage of time are the clerks idle? e. If clerks cost $20 per hour and assemblers cost $40 per hour, what number of clerks would be optimal in terms of minimizing cost?
Expert Solution
steps

Step by step

Solved in 5 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS