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Super City Discount Department Store Is Open 24 Hours a Day.The

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Super City Discount Department Store is open 24 hours a day.The number of cashiers need in each four hour period of a day is listed below.
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 Period  Cashiers Needed 10 p.m. to 2 a.m. 82 a.m. to 6 a.m. 46 a.m. to 10 a.m. 710 a.m. to 2 p.m. 122 p.m. to 6 p.m. 106 p.m. to 10 p.m. 15\begin{array} { c c } \text { Period } & \text { Cashiers Needed } \\\hline 10 \text { p.m. to } 2 \text { a.m. } & 8 \\2 \text { a.m. to } 6 \text { a.m. } & 4 \\6 \text { a.m. to } 10 \text { a.m. } & 7 \\10 \text { a.m. to } 2 \text { p.m. } & 12 \\2 \text { p.m. to } 6 \text { p.m. } & 10 \\6 \text { p.m. to } 10 \text { p.m. } & 15\end{array} If cashiers work for eight consecutive hours,how many should be scheduled to begin working in each period in order to minimize the number of cashiers needed?

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