Super City Discount Department Store Is Open 24 Hours a Day

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. $\begin{array}{lc}\text { Period } & \text { Cashiers Needed }\\\hline10 \mathrm{p} . \mathrm{m} . \text { to } 2 \mathrm{am} . \mathrm{m} . & 8 \\2 \mathrm{a} . \mathrm{m} \text { to } 6 \mathrm{am} . & 4 \\6 \mathrm{a} . \mathrm{m} . \text { to } 10 \mathrm{am} . & 7 \\10 \mathrm{am} . \text { to } 2 \mathrm{p} . \mathrm{m} . & 12 \\2 \mathrm{p} . \mathrm{m} . \text { to } 6 \mathrm{p} . \mathrm{m} . & 10 \\6 \mathrm{p} . \mathrm{m} \text { to } 10 \mathrm{p} . \mathrm{m} . & 15\end{array}$ 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?