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During each 6-hour period of the day, the Bloomington Police Department needs at least the number of policemen shown in the following table. Policemen can be hired to work either 12 consecutive hours or 18 consecutive hours. Policemen are paid $15 per hour for each of the first 12 hours a day they work and are paid $22.5 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 Bloomington’s daily police requirements and solve it via Excel. Time Period Number of required policemen 12:00AM----6:00AM 12 6:00AM----12:00PM 8 12:00PM----6:00PM 6 6:00PM----12:00AM 15
Amount paid to the policemen for working 12 consecutive hours=$15 /hour
Amount paid to the policemen for working 18 consecutive hours=$22.5 /hour
We have to minimize the cost of Bloomington Police Department.
It is given that policemen can be hired to work either for 12 consecutive hours or 18 consecutive hours.
Possibility 1
Number of policemen working from 12:00 am to 6:00 am=12
So, there must be 12 policemen working from 6:00 am to 12:00 PM.
Minimum total cost bear by Bloomington Police Department for first 12 hours(12:00 AM-12:00 PM) for an hour of work will be
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