Each day, workers at an emergency 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.- 19 workers; 6 A.M. to 12 PM- 6 workers; 12 PM. to 6 P.M. - 12workers; 6 P.M. to 12 A.M. – 9 workers. Workers whose two shifts are consecutive are paid $15 per hour; workers whose two shifts are not consecutive are paid $25per hour. Formulate an LP that can be used to minimize the cost of meeting the daily emergency department requirement.

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...
icon
Related questions
Question

All questions please.

Each day, workers at an emergency 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.- 19 workers; 6 A.M. to 12 PM- 6 workers; 12 PM. to 6 P.M. -
12workers; 6 P.M. to 12 A.M. – 9 workers. Workers whose two shifts are
consecutive are paid $15 per hour; workers whose two shifts are not consecutive
are paid $25per hour. Formulate an LP that can be used to minimize the cost of
meeting the daily emergency department requirement.
Transcribed Image Text:Each day, workers at an emergency 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.- 19 workers; 6 A.M. to 12 PM- 6 workers; 12 PM. to 6 P.M. - 12workers; 6 P.M. to 12 A.M. – 9 workers. Workers whose two shifts are consecutive are paid $15 per hour; workers whose two shifts are not consecutive are paid $25per hour. Formulate an LP that can be used to minimize the cost of meeting the daily emergency department requirement.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Types of Scheduling
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Business in Action
Business in Action
Operations Management
ISBN:
9780135198100
Author:
BOVEE
Publisher:
PEARSON CO
Purchasing and Supply Chain Management
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…
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.