Check which variable(s) should be in your answer. s.t.Monday

Practical Management Science
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Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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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 Minimum Number of
Employees Needed
Monday 70
Tuesday 50
Wednesday 45
Thursday 60
Friday 90
Saturday 80
Sunday 50
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 
Xi
 = the number of call-center employees who start work on day i where 
i = 1 = Monday,
 
i = 2 = Tuesday,
 etc).
Min 
Z=x1+x2+x3+x4+x5+x6+x7
 
 
 
Check which variable(s) should be in your answer.
s.t.Monday
i1+i4+i5+i6+i7≥70
 
 
 
Check which variable(s) should be in your answer.Tuesday
50
 
 
 
Enter inequalities using less than (<), greater than (>), less than or equal (≤), or greater than or equal (≥).Wednesday
 
 
 
Thursday
 
 
 
Friday
 
 
 
Saturday
 
 
 
Sunday
X3+X4+X5+X6+X7>=50
 
 
 
X1, X2, X3, X4, X5, X6, X7 ≥ 0
Find the optimal solution.
(X1, X2, X3, X4, X5, X6, X7) = 
 
 
15
 
 
 
 
 
Give the number of call-center employees that exceed the minimum required.
(M, Tu, W, Th, F, Sa, Su) = 
 
 
0,0,0,30,0,0,5
 
 
 
  
 
 
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