3. The police force is planning its manpower. During each 6 hour day, the police needs at least the mumber of police officers shown in the table. Police officers can be hired to work for either 12 consecutive hours or 18 consecutive hours. Police officers are paid $40 per hour for each of the first 12 consecutive hours they work and $60 per hour for each of the next 6 hours they work. Formulate a linear program to minimize the cost of meeting the daily police requirements. Time period 12 am to 6 am 6 am to 12 pm 12 pm to 6 pm pm to 12 am Police officers 12000 8000 6000 15000

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section: Chapter Questions
Problem 54P
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3. The police force is planning its manpower. During each 6 hour day, the police needs at least the
number of police officers shown in the table. Police officers can be hired to work for either 12
consecutive hours or 18 consecutive hours. Police officers are paid $40 per hour for each of the
first 12 consecutive hours they work and $60 per hour for each of the next 6 hours they work.
Formulate a linear program to minimize the cost of meeting the daily police requirements.
Time period
12 am to 6 am
6 am to 12 pm 12 pm to 6 pm 6 pm to 12 am
Police officers
12000
8000
6000
15000
Transcribed Image Text:3. The police force is planning its manpower. During each 6 hour day, the police needs at least the number of police officers shown in the table. Police officers can be hired to work for either 12 consecutive hours or 18 consecutive hours. Police officers are paid $40 per hour for each of the first 12 consecutive hours they work and $60 per hour for each of the next 6 hours they work. Formulate a linear program to minimize the cost of meeting the daily police requirements. Time period 12 am to 6 am 6 am to 12 pm 12 pm to 6 pm 6 pm to 12 am Police officers 12000 8000 6000 15000
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