7. Burrito King (a new fast-food franchise opening up nationwide) has successfully automated burrito production for its drive-up fast-food establishments. The Burro-Master 9000 requires a constant 45 seconds to produce a batch of burritos. It has been estimated that customers will arrive at the drive-up window according to a Poisson distribution at an average of one every 50 seconds. To help determine the amount of space needed for the line at the drive-up window, Burrito King would like to know the expected average time in the system, the average line length (in cars), and the average number of cars in the system (both in line and at the window).

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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I need assitance with solving Chapter 10 Question 7. I made numerous attempts to solve. however I am still having issues. Please provide a step by step explanation so, I can use it as notes for future reference. Respectfully thank you. 

7. Burrito King (a new fast-food franchise opening up nationwide) has successfully automated burrito production for its drive-up fast-food
establishments. The Burro-Master 9000 requires a constant 45 seconds to produce a batch of burritos. It has been estimated that
customers will arrive at the drive-up window according to a Poisson distribution at an average of one every 50 seconds. To help
determine the amount of space needed for the line at the drive-up window, Burrito King would like to know the expected average time
in the system, the average line length (in cars), and the average number of cars in the system (both in line and at the window).
Transcribed Image Text:7. Burrito King (a new fast-food franchise opening up nationwide) has successfully automated burrito production for its drive-up fast-food establishments. The Burro-Master 9000 requires a constant 45 seconds to produce a batch of burritos. It has been estimated that customers will arrive at the drive-up window according to a Poisson distribution at an average of one every 50 seconds. To help determine the amount of space needed for the line at the drive-up window, Burrito King would like to know the expected average time in the system, the average line length (in cars), and the average number of cars in the system (both in line and at the window).
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