Each hour from 10 a.m. to 7 p.m., Bank One receives checks and must process them. Its goal is to process all checks the same day they are received. The bank has 5 check processing machines, each of which can process up to 1200 checks per hour. It takes one worker to operate each machine. Bank One hires both full-time and part-time workers. Full-time workers work 10 a.m. to 6 p.m., 11 a.m. to 7 p.m., or 12 p.m. to 8 p.m., and they are paid $160 per day. The bank requires at least three workers to be assigned to each of these full-time shifts. Part-time workers work either 2 p.m. to 7 p.m. or 3 p.m. to 8 p.m., and they are paid $75 per day. The numbers of checks received each hour are listed in the file P04_114.xlsx. In the interest of maintaining continuity, Bank One believes that it must have at least three full-time workers under contract. Develop a work schedule that processes all checks by 8 p.m. and minimizes daily labor costs.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 104P
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Each hour from 10 a.m. to 7 p.m., Bank One receives checks and must process them. Its goal is to process all checks the same day they are received. The bank has 5 check processing machines, each of which can process up to 1200 checks per hour. It takes one worker to operate each machine. Bank One hires both full-time and part-time workers. Full-time workers work 10 a.m. to 6 p.m., 11 a.m. to 7 p.m., or 12 p.m. to 8 p.m., and they are paid $160 per day. The bank requires at least three workers to be assigned to each of these full-time shifts. Part-time workers work either 2 p.m. to 7 p.m. or 3 p.m. to 8 p.m., and they are paid $75 per day. The numbers of checks received each hour are listed in the file P04_114.xlsx. In the interest of maintaining continuity, Bank One believes that it must have at least three full-time workers under contract. Develop a work schedule that processes all checks by 8 p.m. and minimizes daily labor costs.

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