A linear programming computer package is needed.

Epislon airlines service is predominantly the eastern and south eastern United States. A vast majority of Epsilons 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 the travel is disrupted. Staffing the call-center appropriately is a challenge for Epsilons management team. Having too many employees on hand is a waste of money but having to see you result in very poor customer service and the potential loss of customers.

epsilon analyst have estimated the minimum number of call-center employees needed by day of the week for upcoming vacation season (June, July, and the first two weeks of August). These estimates are given in the following table.

The call-center employees work five consecutive days and then have two consecutive days off an employee may start work on any day of the week. Each call-center employee receives the same salary. Assume that this schedule cycles and ignore start up and stopping at the schedule. Develop a model that will minimize the total number of calls and employees needed to meet the minimum requirements.

\begin{tabular}{|l|c|} \hline Day & MinimumNumberofEmployeesNeeded \\ \hline Monday & 70 \\ \hline Tuesday & 40 \\ \hline Wednesday & 35 \\ \hline Thursday & 50 \\ \hline Friday & 75 \\ \hline Saturday & 60 \\ \hline Sunday & 45 \\ \hline \end{tabular} requirements. (Let xi= the number of call center employees who start work on day i where i=1= Monday, i=2= Tuesday, etc). Min s.t. Monday Tuesiday Wednesday Thursday Saturday Sunday x1,x2,x3,x4,x5,x6,x70 find the optimal solution. (x1,x2,x3,x4,x5,x6,x7)=( Give the number of call-center employees that exceed the minimum required. (M,To,W,Th,F,So,Su)=(