Each day. workers at the Gotham City Police Department work two 6-hour shifts chosen from 12 a.m. to 6 a.m., 6 a.m. to 12 p.m., 12 p.m. to 6 p.m., and 6 p.m. to 12 a.m. The following number of workers are needed during each shift: 12 a.m. to 6 a.m.—15 workers; 6 a.m. to 12 p.m.—5 workers; 12 p.m. to 6 p.m.—12 workers; 6 p.m. to 12 a.m.—6 workers. Workers whose two shifts are consecutive are paid $12 per hour; workers whose shifts arc not consecutive are paid $18 per hour. Formulate an LP that can he used to minimize the cost of meeting the daily workforce demands of the Gotham City Police Department.
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