The sheriff has been asked by the county commissioner to increase weekend patrols in the lake region during the summer months. The sheriff has proposed the following weekly schedule, shifting deputies from weekday assignments to weekends:
Day Sun. Mon. Tues. Wed. Thurs. Fri. Sat.
Assignments 6 4 3 3 5 5 6
Develop a weekly sork-shift schedule of duty tours, providing 2 consecutive days off per week for each officer. Formulate the problem as an integer programming model to minimize the number of officer need, and solve using Excel solver. (Provide excel sheet too)