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 shift are not consecutive are paid $18 per hour. Formulate an LP that can be used to minimize the cost of meeting the daily workforce.
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 shift are not consecutive are paid $18 per hour. Formulate an LP that can be used to minimize the cost of meeting the daily workforce.
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...
Related questions
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 shift are not consecutive are paid $18 per hour. Formulate an LP that can be used to minimize the cost of meeting the daily workforce.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Recommended textbooks for you
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Purchasing and Supply Chain Management
Operations Management
ISBN:
9781285869681
Author:
Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:
Cengage Learning
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.