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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 requirements

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