Epsilon Airlines services predominately the eastern and southeastern United States. A vast majority of Epsilon's customers make reservations through Epsilon's website, but a small percentage of customers make reservations via phone.Epsilon employs call-center personnel to handle these reservations along with any problems with the website reservation system and for the rebooking of flights for customers if their plans change or their travel is disrupted. Staffing thecall center appropriately is a challenge for Epsilon's management team. Having too many employees on hand is a waste of money, but having too few results in very poor customer service and the potential loss of customers.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.DayMinMondayTuesdayWednesdayThursdayFridaySaturdaySundayMinimum Number ofEmployees Needed75504570958550The 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 andignore 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 dayi where i = 1 = Monday, i = 2 = Tuesday, etc). s.t.MondayTuesdayWednesdayThursdayFridaySaturdaySundayX1, X2, X3, X4, X5, X6, X7 20Find the optimal solution.(X₁, X2, X3, X₁1 X5, X6, X 7) = (4'Give the number of call-center employees that exceed the minimum required.(M, Tu, W, Th, F, Sa, Su) =

Linear programming is one of the mathematical techniques that is widely used by companies. This…

Answered: The call-center employees work five…

Purchasing and Supply Chain Management

6th Edition

ISBN:9781285869681

Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson

Publisher:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson

ChapterC: Cases

Section: Chapter Questions

Problem 3.8A

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