3. Ranchi Police department schedules police officers for 8-hour shifts. The beginning timesfor the shifts are 8:00 A.M, Noon (12:00 P.M), 4:00 P.M, 8:00 P.M, Midnight (12:00 A.M),and 4:00 A.M. An officer beginning a shift at one of these times works for the next 8 hours.During normal workday operations, the number of officers needed varies depending on thetime of the day. The department staffing guidelines require the minimum number of officerson duty, as mentioned in the following table. Now, Ranchi Police department wants to developan integer programming to minimize the total number of officers required who begin their workin each of the time slots, as mentioned in the following table.Time SlotTime of the dayMinimum officersonduty18:00 A.M-Noon (12:00 P.M)4Noon (12:00 P.M)-4:00 P.M834:00 P.M-8:00 P.M1048:00 P.M-Midnight (12:00 A.M)75Midnight (12:00 A.M)-4:00 A.M1264:00 A.M-8:00 A.Ma) Write down the objective function of the Integer programming consistent with the goal ofRanchi Police departmentb) Write down the constraints of Integer programming consistent with the goal of Ranchi Policedepartment2.

Linear programming, often known as linear optimization, is a method for obtaining the best result…

Answered: a) Write down the objective function of…

Practical Management Science

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Publisher:WINSTON, Wayne L.

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Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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a) Write down the objective function of the Integer programming consistent with the goal of Ranchi Police department b) Write down the constraints of Integer programming consistent with the goal of Ranchi Police department