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

Question 45

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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:  Time  Minimum # of dealers 010005007050009004090013009130017001217002100152100010017\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.

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(Xi = the number of dealers beginning wo...

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