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Wichitas famous Sethi Restaurant is open 24 hours a day. Servers report for duty at 3 A.M., 7 A.M., 11 A.M., 3 PM., 7 PM.,or 11 PM., and each works an 8-hour shift. The following table shows the minimum number of workers neede the 6 periods into which the day is divided: during Decision vairable x, number of workers reporting for the start of working period i, where i-1, 2, 3, 4, 5, or 6 Period Time ???.-7A.M 7 A.M.-11 A.M. 11 A.M.-3 P.M. 3 P.M.-7 P.M 7 P.M. 11 PM 11 PM.- 3AM. Number of Servers Required 15 18 12 14 Owner Avanti Sethis scheduling problem is to determine how many servers should report for work at the start of each time period in order to minimize the total staff required for one days operation. (Hint: Let X equal the number of servers beginning work in time period i, where i-1,2, 3, 4, 5, 6.) Objective function: MinimizeZ Subject to: X1215 X218 X3212 X4214 (7 A.M.-11 A.M.) (11 A.M. -3 PM.) (3 PM. -7 PM.) (7 P.M. -11 PM.) (11 PM.-3 A.M.) (3 AM. -7 A.M.) X6+23 For all X20

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