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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

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
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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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.
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