Clancy's Casino, in Muledeer, Nevada, Is Open 24 Hours a Day

Essay

Clancy's Casino, in Muledeer, Nevada, is open 24 hours a day, seven days a week.Along with all the other attractions and diversion, Clancy's operates a variety of gaming tables.Dealers at these tables are interchangeable.The casino has the following daily requirements for dealers: $\begin{array} { c c } \text { Time } & \text { Minimum \# of dealers } \\0100 - 0500 & 7 \\0500 - 0900 & 4 \\0900 - 1300 & 9 \\1300 - 1700 & 12 \\1700 - 2100 & 15 \\2100 - 0100 & 17\end{array}$
A dealer may start work at the beginning of any one of the six shifts and, having begun, works eight consecutive hours.Find the employee schedule that minimizes the total number of dealers required, meeting the minimum level of each shift's requirements.