# there are Customers at Sunny's Grocery Store can choose one offive checkouts (each having a separate line) - there are fourregular checkouts, and one Express checkout for customers with12 items or less. It has been determined that an average of 133customers per hour arrive at the store (assume a Poisson arrivalrate), with 80% of customers using the regular checkouts (assumethat

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there are Customers at Sunny's Grocery Store can choose one offive checkouts (each having a separate line) - there are four"regular" checkouts, and one "Express" checkout for customers with12 items or less. It has been determined that an average of 133customers per hour arrive at the store (assume a Poisson arrivalrate), with 80% of customers using the regular checkouts (assumethat each checkout sees an equal amount of customers) while 20% usethe Express checkout. Service time at regular checkouts averages1.8 minutes, while average Express service time is much less at1.38 minutes (assume that the service times follow an exponentialdistribution.

I. What is the average number of customers waiting in line inone of the "regular" checkout lanes? (Keep twodecimals, i.e., "1.23")

II. What is the average number of customers waiting in line atthe "Express" checkout? (Keep twodecimals, i.e., "1.23")

Related Book For

## Introduction to Operations Research

10th edition

Authors: Frederick S. Hillier, Gerald J. Lieberman

ISBN: 978-1259162985