2. Each day, workers at an emergency 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.- 19 workers; 6 A.M. to 12 P.M.- 6 workers; 12 P.M. to 6 P.M. - 12workers; 6 P.M. to 12 A.M. - 9 workers. Workers whose two shifts are consecutive are paid $15 per hour, workers whose two shifts are not consecutive are paid $25per hour. Formulate an LP that can be used to minimize the cost of meeting the daily emergency department requirement. 3. A police department in a large city required a specific numbers of policemen during each 6-hour period of the day, to work successfully, the department needs at least number of policemen shown in the following table. The policemen can be hired to work either 12 consecutive hours or 18 consecutive hours. The policemen are paid $6 per hour for each of the first 12 hours a day they work and are paid $8 per hour for each of the next 6 hours they work in a day. Formulate an LP that can be used to minimize the cost of meeting daily workforce demand of the police department