near programming computer parkage is needed.

Epsilon Airlines services predominately the eastam and southeastem United States. A vast majority of Epster's customers mais reservations through Epallen's website, but a smail percentage of customers make reservations via phone. Epation employs rall$-$center personnel to handle these reservations along with any problems with the website reservation system and for the rebooking of fights for customers their plans change or their trevel 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 lose of customers

Epsilon analysts have estimated the minimum number of call$-$center employees needed by day of work for the upcoming of August$).$ These estimates are given in the fallewing tabils asan $($June$,$ July, and the firs

Day

Minimum Number of Employees Needed

$50$

$63$

$200$

$45$

Manday

Tuesday

Westnesday

Thursday

Findes

Saturday

Sunday

The call center employees work five consecutive dess and then have tes snaecutive lers oft An employee may start work any day of the work. Each sall receives the same salary Assume that the schedule cycles and ignore start$-$up and stepping of the schedule. Deveup a model that wal meumas the total number of cal canter enginyers needed to meat the minimum requiremeres $($Lat X$,$ the number of call center employees who start werk as day I where

West