A school is conducting optimization studies of the resources it has. One of the principal...

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Advance Math

A school is conducting optimization studies of the resources it has. One of the principal concerns of the Director is that of the staff. The problem he is currently facing is with the number of guards in the "Emergencies" section. To this end, he ordered a study to be carried out that yielded the following results:

Time Minimum number of guards requiredO to 4 404 to 8 808 to 12 10012 to 16 7016 to 20 12020 to 24 50Each guard, according to Federal labor law, must work eight consecutive hours per day. Formulate the problem of hiring the minimum number of guards that meet the above requirements, as a Linear programing model.

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We have the following scheduling requirementsShiftTime24hour systemMinimum number of guards10440248803812100412167051620120620050Now we are given that each guard must work 8 consecutive hoursSo every guard works for two consecutive See Answer

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