A U.S. Postal Service supervisor is looking for ways to reduce stress in the sorting department. With the existing arrangement, stamped letters are machine-canceled and loaded into tubs with 450 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 one tub per 385 seconds. To overcome 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 95,000 letters are to be sorted during a 10-hour shift, the safety stock policy variable, α, is 0.25, and the average waiting time plus material handling time is 30 minutes per tub? The average processing time per tub of letters, p, is nothing day. (Enter your response rounded to four decimal places.) The average waiting time per tub of letters, w, is nothing day. (Enter your response rounded to four decimal places.) Therefore, the number of tubs that should circulate between the sorting clerks and the canceling machine is nothing tubs. (Enter your response rounded up to the next whole number.)

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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A U.S. Postal Service supervisor is looking for ways to reduce stress in the sorting department. With the existing arrangement, stamped letters are machine-canceled and loaded into tubs with

450

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 one tub per

385

seconds. To overcome 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

95,000

letters are to be sorted during a

10-hour

shift, the safety stock policy variable,

α,

0.25,

and the average waiting time plus material handling time is

minutes per tub?

The average processing time per tub of letters,

nothing

day. (Enter your response rounded to four decimal places.)

The average waiting time per tub of letters,

nothing

day. (Enter your response rounded to four decimal places.)

Therefore, the number of tubs that should circulate between the sorting clerks and the canceling machine is

nothing

tubs. (Enter your response rounded up to the next whole number.)

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