A U.S. Postal Service supervisor is looking for ways to reducestress in the sorting department. With the existing arrange-ment, stamped letters are machine-canceled and loaded intotubs with 375 letters per tub. The tubs are then pushed topostal clerks, who read and key zip codes into an automatedsorting machine at the rate of 1 tub per 375 seconds. To over-come the stress caused when the stamp canceling machineoutpaces the sorting clerks, a pull system is proposed. Whenthe clerks are ready to process another tub of mail, they willpull the tub from the canceling machine area. How manytubs should circulate between the sorting clerks and thecanceling machine if 90,000 letters are to be sorted during an8-hour shift, the safety stock policy variable, a, is 0.18, andthe average waiting time plus materials handling time is25 minutes per tub?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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A U.S. Postal Service supervisor is looking for ways to reduce
stress in the sorting department. With the existing arrange-
ment, stamped letters are machine-canceled and loaded into
tubs with 375 letters per tub. The tubs are then pushed to
postal clerks, who read and key zip codes into an automated
sorting machine at the rate of 1 tub per 375 seconds. To over-
come the stress caused when the stamp canceling machine
outpaces the sorting clerks, a pull system is proposed. When
the clerks are ready to process another tub of mail, they will
pull the tub from the canceling machine area. How many
tubs should circulate between the sorting clerks and the
canceling machine if 90,000 letters are to be sorted during an
8-hour shift, the safety stock policy variable, a, is 0.18, and
the average waiting time plus materials handling time is
25 minutes per tub?

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