Macca's Arcade provides an opportunity for patrons to step into a batting cage and hitagainst a pitching machine that throws 90-mile-per-hour fastballs. Patrons purchase a tokenand then join the line. Once a batter leaves the cage, the attendant quickly adjusts thepitching machine to match the next batter's height while that batter steps into the cage. Oncethe batter is ready, the attendant drops the token into a slot on the side of the pitchingmachine and the batter receives exactly 15 pitches (each delivered 24 seconds apart) at whichto swing.(a) Using Kendall notation, specify the appropriate queuing model for this problem.(b) Specify the probability that the batting cage is in use at any time during business hours.(c) Specify the number of customers on average that are waiting in line to hit in the cage atMacca's Arcade.(d) How many minutes on average does a customer wait from the time when he or she getstheir token until the time that he or steps into the cage?

Answered: (a) Using Kendall notation, specify the…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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