Epsilon analysts have estimated the minimum number of call-center employees needed by day of week for the upcoming vacation season (June, July, and the first two weeks of August). These estimates are given in the following table. Min Day s.t. Monday Tuesday Wednesday Thursday Friday Saturday Sunday Minimum Number of Employees Needed 70 40 35 50 80 70 The call-center employees work five consecutive days and then have two consecutive days off. An employee may start work any day of the week. Each call-center employee receives the same salary. Assume that the schedule cycles and ignore start-up and stopping of the schedule. Develop a model that will minimize the total number of call-center employees needed to meet the minimum requirements. (Let X; = the number of call-center employees who start work on day i where i = 1 = Monday, i = 2 = Tuesday, etc). 45

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