During each 4-hour period, the Smalltown police force requires the following number of on-duty police officers: 12 midnight to 4 A.M.- 8; 4 to 8 A.M. – 7; 8 A.M. to 12. noon. – 6; 12 noon to 4 P.M. – 6; 4 to 8 P.M. – 5; 8 P.M. to 12 midnight – 4. Each police officer works two consecutive 4-hour shifts. Formulate an LP that can be used to minimize the number of police officers needed to meet Smalltown’s daily requirement