The arrival of employees in a service station (canteen) follows Poisson distribution, and service times are exponentially distributed. The rate of arrivals averages 45 employees each hour, and an attendant can serve on an average 50 employees each hour. The employees are paid Rs. 8 per hour, and the attendants are paid Rs. 5 per

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Asap
The arrival of employees in a service station (canteen)
follows Poisson distribution, and service times are
exponentially distributed. The rate of arrivals averages
45 employees each hour, and an attendant can serve on
an average 50 employees each hour. The employees are
paid Rs. 8 per hour, and the attendants are paid Rs. 5 per
hour. Find the optimum number of attendants to be placed
in the service station.
Transcribed Image Text:The arrival of employees in a service station (canteen) follows Poisson distribution, and service times are exponentially distributed. The rate of arrivals averages 45 employees each hour, and an attendant can serve on an average 50 employees each hour. The employees are paid Rs. 8 per hour, and the attendants are paid Rs. 5 per hour. Find the optimum number of attendants to be placed in the service station.
Expert Solution
steps

Step by step

Solved in 3 steps with 16 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,