Each day, workers at the Gotham City Police Departmentwork two 6-hour shifts chosen from 12 A.M. to 6 A.M., 6 A.M.to 12 P.M., 12 P.M. to 6 P.M., and 6 P.M. to 12 A.M. Thefollowing number of workers are needed during each shift:12 A.M. to 6 A.M.—15 workers; 6 A.M. to 12 P.M.—5 workers;12 P.M. to 6 P.M.—12 workers; 6 P.M. to 12 A.M.—6 workers.Workers whose two shifts are consecutive are paid $12 perhour; workers whose shifts are not consecutive are paid $18per hour. Formulate an LP that can be used to minimize thecost of meeting the daily workforce demands of the GothamCity Police Department.
Each day, workers at the Gotham City Police Departmentwork two 6-hour shifts chosen from 12 A.M. to 6 A.M., 6 A.M.to 12 P.M., 12 P.M. to 6 P.M., and 6 P.M. to 12 A.M. Thefollowing number of workers are needed during each shift:12 A.M. to 6 A.M.—15 workers; 6 A.M. to 12 P.M.—5 workers;12 P.M. to 6 P.M.—12 workers; 6 P.M. to 12 A.M.—6 workers.Workers whose two shifts are consecutive are paid $12 perhour; workers whose shifts are not consecutive are paid $18per hour. Formulate an LP that can be used to minimize thecost of meeting the daily workforce demands of the GothamCity Police Department.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 102P
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Question
Each day, workers at the Gotham City Police Department
work two 6-hour shifts chosen from 12 A.M. to 6 A.M., 6 A.M.
to 12 P.M., 12 P.M. to 6 P.M., and 6 P.M. to 12 A.M. The
following number of workers are needed during each shift:
12 A.M. to 6 A.M.—15 workers; 6 A.M. to 12 P.M.—5 workers;
12 P.M. to 6 P.M.—12 workers; 6 P.M. to 12 A.M.—6 workers.
Workers whose two shifts are consecutive are paid $12 per
hour; workers whose shifts are not consecutive are paid $18
per hour. Formulate an LP that can be used to minimize the
cost of meeting the daily workforce demands of the Gotham
City Police Department.
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