A small grocery' store needs the following number of cashiers during each day of a normal week for day (8 a.m. to 4 p.m.) and evening (4 p.m. to midnight) shifts. The store prefers to employ full-time cashiers who work eight hours a day, five days a week, with two consecutive days off. A part time cashier works four hours a day up to five days a week (with no requirement for consecutive days off). Note that for each unit of cashier requirement below, two part-time cashiers are needed because the periods are eight hours long. Determine the mix of full-time and part-time cashiers and schedule their work in order to minimize total number of cashiers employed but meet the cashier requirements below.

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Cashiers needed Mon Tue WedTh Fri Sat Sun 8 a.m.-4 p.m Cashiers needed Mon Tue Wed Thu Fri Sat Sun 4 p.m.-12 a.m. 5 2 3