A linear programming computer package is needed. 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 the call 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. Day Monday Tuesday Wednesday Thursday Friday Saturday Sunday Minimum Number of Employees Needed 65 35 30 40 75 70 40

Practical Management Science
6th Edition
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Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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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).
Min
s.t.
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Sunday
X₁, X₂, X3, X₁, X5, X6, X7 20
Find the optimal solution.
(X1, X21 X3, X4, X5, X6₁X7) = |
Give the number of call-center employees that exceed the minimum required.
(M, TU, W, Th, F, Sa, Su) =
Transcribed Image Text: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). Min s.t. Monday Tuesday Wednesday Thursday Friday Saturday Sunday X₁, X₂, X3, X₁, X5, X6, X7 20 Find the optimal solution. (X1, X21 X3, X4, X5, X6₁X7) = | Give the number of call-center employees that exceed the minimum required. (M, TU, W, Th, F, Sa, Su) =
A linear programming computer package is needed.
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 the call 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.
Day
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Sunday
Minimum Number of
Employees Needed
65
35
30
40
75
70
40
Transcribed Image Text:A linear programming computer package is needed. 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 the call 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. Day Monday Tuesday Wednesday Thursday Friday Saturday Sunday Minimum Number of Employees Needed 65 35 30 40 75 70 40
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