In the 19th arrondissement of Paris, the safety of citizens must be ensured by a

Adequate police service. Here is, for a typical day, the minimum number of

Police officers required per four-hour period.

A police officer takes his service once a day and works eight hours in a row. The

Service hours are Oh, 4am, 12pm, 4pm and 8pm. The director may request

Police officers to perform, immediately after their normal service, a block of four

Overtime, which is paid at a rate corresponding to 150%

Of the regular hourly wage.

If neither vacation nor absences are taken into account, and assuming that each

Police officer takes his service seven days a week at the same time, without days

Unemployed, develop a mathematical optimization model that would allow

Determine how many police officers must be provided to provide police service at the

19th arrondissement at the lowest possible daily cost.

please show me your approach

policiers requis par priode de quatre heures. Periode Oh-4h 4h-8h 8h-12h 12h-16h 16h-20h 20h-24h Minimum 24 56 90 116 40 60 Un policier prend son service une fois par jour et travaille huit heures d'affile. Le heures de prise de conico contoh AL