Question

Problem 4-09 (Algorithmic) Epsilon Airlines services predominately the eastern and southeastern United States. The 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 challenge for Epsilon's magement team. Having too many employees on hand of flights for customers if their plans change or their travel s disrupted. Staffing the call center appropriately 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 as follows: Minimum Number of Employees Needed Day Monday 55 Tuesday 60 Wednesday 75 Thursday 50 Friday 90 Saturday 45 Sunday 75 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. Find the optimal solution and determine the total number of call-center employees under the optimal solution. Use Excel Solver. Let Xi the number of call center employees who start work on day i (i 1 = Monday, i 2 Tuesday...) Min X1 X2 X3 X4+X5 X6 X7 s.t. X5 X6 +X7 X1 + XA + X5 + X6 + X1 X2 X7 + X6+ X1 Xz X3 X7 X1 + +X7 2 X3 + X4 + X2 + X5 X1 + X6 X2 X2 Xc X4 X5 X6 X7 X1, X2, X3, X4, X5, X6, X7 0 Total Number of Employees Under the Optimal Solution |

Answer 1

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Soling Worbers Emplogans Wosten ecicion Arlive Storting Needed Vallalole Mewelay Taeiday hlednesdar 1 55 55 G0 60 10 74 23 O Thundey fueley Satienday Sinday objecfve 5 6 SE 14 90 36 51 19 75 FS Total Minialze 100 function Total no.of empleel 100