Aline programming computer package is ended Epston Arines services predominately the saster and southeastern United States. A majority of Epsilon's customers make reservations through Epsilon's website, but a small percentage of customers make reservations via phone. Epallon employs call center personnel to handle these reservations along with any problems with the website tervation systern and for the rebooking of Flights for customers if their plans change or her travel is disrupted Staffing the call center appropriately is a challenge for mon's management team. Having too many plyson handlu a waste of money, but having to los results in very poor customer service and the potential loss of customers Taulon analysts have estimated the minimum number of col-center employees nended by day of work for the upcoming vacation testo (une, July, and the first two weeks of August). These estimates are given in the following table Day Minimum Number of Employees Needed Monday 90 Tuesday so Wednesday 45 Thursday 70 Friday 100 Saturday 30 Sunday 55 The call center amoloyees work five consecutive days and then have two consecutive days of an employee may start work any day of the week. Each cal-center employee receive the same solary. Asume that the schedule cycles and ignore start-up and stooping of the schedule. Develop a model that wil minimize the total number of call center employees needed to meet the minimum requirements at the number of centermine what an minimum requirements. (Let X, = the number of call-center employees who start work on ay Min X s.t. Monday Tuesday Wednesday X X X X X X Thursday Friday Saturday Sunday X X, X, X3, X, X, X, X, 20 Find the optimal solution. =( (X, X, X, X, X, X, X) = X Give the number of call-center employees that exceed the minimum required. (M, Tu, W, Th, F, Sa, Su) x) x Arogramming our packages son Arts Visuredominately and other one may come to be the map customers at vi har en els terrenal to handle there with my with the nation for the nights for mer if the change or that she state the call center proprie fort maraming maryn waste of moving to every perstomer service and the customer Busion analystemate te mber - med by day of week for them to the first of these was even in the table tay Minimum of Eloyees 100 Satu Sunda The callcenter potective days and the two days of an employment work any day were the ry. Are that the decydes and in and stopping the develops that wil menumber or the mint the number of cheatywnie M +2+3+45X+