Answered: The Waterfall Buffet in the lower level…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

The Waterfall Buffet in the lower level of the National Art
Gallery serves food cafeteria-style daily to visitors and
employees. The buffet is self-service. From 7:00 A.M. to
9:00 A.M. customers arrive at the buffet at a rate of eight per
minute; from 9:00 A.M. to noon, at four per minute; from

noon to 2:00, at 14 per minute; and from 2:00 P.M. to clos-
ing at 5:00 P.M., at eight per minute (Poisson distributed).

All the customers take about the same amount of time to

serve themselves and proceed to the buffet. Once a cus-
tomer goes through the buffet, it takes an average of

0.4 minute (exponentially distributed) to pay the cashier.
The gallery does not want a customer to have to wait longer
than four minutes to pay. How many cashiers should be
working at each of the four times during the day?

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