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 are not consecutive are paid $18 per hour. formulate an lp that can be used to minimize the cost of meeting the daily workforce demands of the gotham city police department.