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Business Analytics: Optimization, Prediction, and Description * Sergeant Sherwood Roustem is the scheduler for the Campus Police Department. The requirements for on-duty officers for the

Business Analytics: Optimization, Prediction, and Description

  1. * Sergeant Sherwood Roustem is the scheduler for the Campus Police Department. The requirements for on-duty officers for the next several days is as follows:

Time

Minimum Officers

Required

2:00 AM 6:00 AM

22

6:00 AM 10:00 AM

55

10:00 AM 2:00 PM

88

2:00 PM 6:00 PM

110

6:00 PM 10:00 PM

44

10:00 PM 2:00 AM

33

Officers can report for duty at any of the above six time periods and will then remain on duty for 8 consecutive hours.

  1. Formulate to minimize the number of officers needed to staff each day.

Suppose the officers could be assigned 4 hours of overtime at the end of their normal shift for a 50% increase in wage.

  1. Add this option to your original formulation.

Not to be done on Excel, work problem by hand.

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