Work Scheduling Problems: Section 3.5 (p.76) #5: 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.