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A restaurant in uptown is extremely busy on some days and needs to reevaluate their employment requirement policies. They have three types of employees. Full time employees, part time employees, and interns.
The full time employees work 5 days consecutively, the part time employees work 3 days consecutively and the interns work one day per week. The full time employees are paid $1150 per week. The part time employees are paid $500 per week (of 3 working days).
The restaurant policy states that the number of part time and interns cannot be higher than the number of full time workers on any day of the week. The restaurant works 7 days a week. The daily minimum requirement of the employee is
Monday = 15
Tuesday = 12
Wednesday = 9
Thursday = 10
Friday = 20
Saturday = 25
Sunday = 18
Formulate an LP programming to minimize the total cost of an effective schedule. Make sure the staffing schedule is enough to meet the daily requirement throughout the week. Clearly state all decision variables.
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