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During each four hour period, the Okinawa police force requires the following number of on-duty police officers: eight from midnight to 4 am; seven from 4 am to 8 am; six from 8 am to noon; six from noon to 4 pm; five from 4 pm to 8 pm; and four from 8 pm to midnight. Each police officer works two consecutive four-hour shifts. Officers make $25 per hour. The police force wants to minimize the cost to cover the required work force.
a. Formulate this model
b. Solve the model you have formulated using Solver, without restricting the variables to be integer initially. Did you have to use integer variables to solve this problem, or did you get integer values for the decision variables anyway? Report the solution â?" all decision variables and objective.

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This posting contemplates integer variables.

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Please see attached files. The word file is the problem formulation. The excel file is the solver setup and solution.

3. During each four hour period, the Okinawa police force requires the following number of on-duty police officers: eight from midnight to 4 am; seven from 4 am to 8 am; six from 8 am to noon; six from noon to 4 pm; five from 4 pm to 8 pm; and four from 8 pm to midnight. Each police officer ...

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