Question: Each day, workers at MI6 (A security service provider) work two 4-hour shifts chosen from 12 A.M. to 4 A.M., 4 A.M. to 8 A.M.,

Each day, workers at MI6 (A security service provider) work two 4-hour shifts chosen from 12 A.M. to 4 A.M., 4 A.M. to 8 A.M., 8 A.M. to 12 P.M., 12 P.M. to 4 P.M., 4 P.M. to 8 P.M. and 8 P.M. to 12 A.M. The following number of workers are needed during each shift: 12 A.M. to 4 A.M. -28 workers; 4 A.M. to 8 A.M. - 16 workers, 8 A.M. to 12 P.M. -10 workers, 12 P.M. to 4 P.M. - 8 workers; 4 P.M. to 8 P.M. 12 workers; 8 P.M. to 12 A.M. - 35 workers. Workers whose two shifts are consecutive are paid R100 per hour; workers whose shifts are not consecutive are paid R135 per hour. Formulate a Linear Programming (LP) model that can be used to minimize the cost of meeting the daily workforce demands of MI6.
 Each day, workers at MI6 (A security service provider) work two

Each day, workers at MI6 (A secunity service provider) work two 4-hour shifts chosen from 12 A.M. to 4 A.M., 4 A.M. to 8 A.M., 8 A.M. to 12 P.M., 12 P.M. to 4 P.M., 4 P.M. to 8 P.M. and 8 P.M. to 12 A.M. The following number of workers are needed during each shift: 12 A.M. to 4 A.M. - 28 workers; 4 A.M. to 8 A.M. - 16 workers, 8 A.M. to 12 P.M. - 10 workers, 12 P.M. to 4 P.M. - 8 workers; 4 P.M. to 8 P.M. -12 workers; 8 P.M. to 12 A.M. -35 workers. Workers whose two shifts are consecutive are paid R100 per hour; workers whose shifts are not consecutive are paid R135 per hour. Formulate a Linear Programming (LP) model that can be used to minimize the cost of meeting the daily workforce demands of MI6

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