A Post Office Requires Different Numbers of Full-Time Employees on Different

Essay

A post office requires different numbers of full-time employees on different days of the week. The number of full-time employees required each day is given in the table below. Union rules state that each full-time employee must work five consecutive days and then receive two days off. The post office wants to meet its daily requirements using only full-time employees. Its objective is to minimize the number of full-time employees that must be hired.
-During each four-hour period, the police force in a small town in Ohio requires the following number of on-duty police officers: 8 from midnight to 4 A.M.; 7 from 4 A.M. to 8 A.M.; 6 from 8 A.M. to noon; 6 from noon to 4 P.M.; 5 from 4 P.M. to 8 P.M.; and 4 from 8 P.M. to midnight. Each police officer works two consecutive four-hour shifts. Determine how to minimize the number of police officers needed to meet the town's daily requirements.