Each day, workers at the Gotham City Police Department work two 6-hour shifts chosen from 12...

 

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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 is needed during each shift. 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. Shifts 12 A.M. to 6 A.M. 6 A.M. to 12 P.M 12 P.M. to 6 P.M 6 P.M. to 12 A.M Required workers 15 workers 5 workers 12 workers 6 workers 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 is needed during each shift. 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. Shifts 12 A.M. to 6 A.M. 6 A.M. to 12 P.M 12 P.M. to 6 P.M 6 P.M. to 12 A.M Required workers 15 workers 5 workers 12 workers 6 workers

Answer rating: 100% (QA)

Answer Minimize the cost 12x 18y Subject to the constraint 12x1 6x2 15 6x16x2 12 6x112x2 6 x1x20 Cal... View the full answer