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 9,000 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, answer the following questions. What is the average waiting line length (in cars)? Note: Do not round intermediate calculations. Round your answer to 2 decimal places.   What is the average number of cars in the system (both in line and at the window)? Note: Do not round intermediate calculations. Round your answer to 2 decimal places.   What is the expected average time in the system, in minutes? Note: Do not round intermediate calculations. Round your answer to 2 decim

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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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 9,000 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, answer the following questions.

  1. What is the average waiting line length (in cars)?

    Note: Do not round intermediate calculations. Round your answer to 2 decimal places.

     
  2. What is the average number of cars in the system (both in line and at the window)?

    Note: Do not round intermediate calculations. Round your answer to 2 decimal places.

     
  3. What is the expected average time in the system, in minutes?

    Note: Do not round intermediate calculations. Round your answer to 2 decimal places.

     
 
 
 
 
 
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