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3. A police department in a large city required a specific numbers of policemen during each 6-hour period of the day, to work successfully, the department needs at least number of policemen shown in the following table. The policemen can be hired to work either 12 consecutive hours or 18 consecutive hours. The policemen are paid S6 per hour for each of the first 12 hours a day they work and are paid $8 per hour for each of the next 6 hours they work in a day. Formulate an LP that can be used to minimize the cost of meeting daily workforce demand of the police department. Time Period 12 A.M. – 6 AM. 6 AM. - 12 P.M. 12 P.M. – 6 P.M. 6 P.M. – 12 A.M. Number of policemen required 13 4 15

3. A police department in a large city required a specific numbers of policemen during each 6-hour period of the day, to work successfully, the department needs at least number of policemen shown in the following table. The policemen can be hired to work either 12 consecutive hours or 18 consecutive hours. The policemen are paid S6 per hour for each of the first 12 hours a day they work and are paid $8 per hour for each of the next 6 hours they work in a day. Formulate an LP that can be used to minimize the cost of meeting daily workforce demand of the police department. Time Period 12 A.M. – 6 AM. 6 AM. - 12 P.M. 12 P.M. – 6 P.M. 6 P.M. – 12 A.M. Number of policemen required 13 4 15

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
Problem 79P
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3. A police department in a large city required a specific numbers of policemen during each 6-hour period of the day, to work successfully, the department needs at least number of policemen shown in the following table. The policemen can be hired to work either 12 consecutive hours or 18 consecutive hours. The policemen are paid S6 per hour for each of the first 12 hours a day they work and are paid $8 per hour for each of the next 6 hours they work in a day. Formulate an LP that can be used to minimize the cost of meeting daily workforce demand of the police department. Time Period 12 A.M. – 6 AM. 6 AM. - 12 P.M. 12 P.M. – 6 P.M. 6 P.M. – 12 A.M. Number of policemen required 13 4 15
Transcribed Image Text:3. A police department in a large city required a specific numbers of policemen during each 6-hour period of the day, to work successfully, the department needs at least number of policemen shown in the following table. The policemen can be hired to work either 12 consecutive hours or 18 consecutive hours. The policemen are paid S6 per hour for each of the first 12 hours a day they work and are paid $8 per hour for each of the next 6 hours they work in a day. Formulate an LP that can be used to minimize the cost of meeting daily workforce demand of the police department. Time Period 12 A.M. – 6 AM. 6 AM. - 12 P.M. 12 P.M. – 6 P.M. 6 P.M. – 12 A.M. Number of policemen required 13 4 15
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