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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