Question: Problem 9-09 (Algorithmic) Epsilon Airlines services predominantly the eastern and southeastern united States. The vast majority of Epsilons customers make reservations through Epsilons website, but

Problem 9-09 (Algorithmic)

Epsilon Airlines services predominantly the eastern and southeastern united States. The vast majority of Epsilons customers make reservations through Epsilons website, but a small percentage of customers make reservations via phones. Epsilon employs call center personnel to handle these reservations and to deal with website reservation system problems and for the rebooking of flights for customers whose plans have changed or whose 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 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 the week for the upcoming vacation season (June, July, and the first two weeks of August). These estimates are as follows:

Day Minimum Number of Employees Needed
Monday 75
Tuesday 90
Wednesday 50
Thursday 60
Friday 45
Saturday 75
Sunday 50

The call center employees work for 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 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.

  1. Let Xi = the number of call center employees who start work on day i
    (i = 1 = Monday, i = 2 = Tuesday...)
  1. Min
  1. X1 +
  1. X2 +
  1. X3 +
  1. X4 +
  1. X5 +
  1. X6 +
  1. X7
  1. s.t.
  1. X1 +
  1. X4+
  1. X5+
  1. X6+
  1. X7
  • =
 ????
  1. X1 +
  1. X2+
  1. X5+
  1. X6+
  1. X7
  • =
 ????
  1. X1 +
  1. X2+
  1. X3+
  1. X6+
  1. X7
  • =
 ????
  1. X1 +
  1. X2+
  1. X3+
  1. X4+
  1. X7
  • =
 ????
  1. X1 +
  1. X2+
  1. X3+
  1. X4+
  1. X5
  • =
 ????
  1. X2 +
  1. X3+
  1. X4+
  1. X5+
  1. X6
  • =
 ????
  1. X3 +
  1. X4+
  1. X5+
  1. X6+
  1. X7
  • =
 ????
  1. X1,
  1. X2,
  1. X3,
  1. X4,
  1. X5,
  1. X6,
  1. X7

0

2. Find the optimal solution.

X1 = fill in the blank 15
X2 = fill in the blank 16
X3 = fill in the blank 17
X4 = fill in the blank 18
X5 = fill in the blank 19
X6 = fill in the blank 20
X7 = fill in the blank 21

Total Number of Employees = fill in the blank

Give the number of call center employees that exceed the minimum required.

Excess employees

Monday = fill in the blank 23
Tuesday = fill in the blank 24
Wednesday = fill in the blank 25
Thursday = fill in the blank 26
Friday = fill in the blank 27
Saturday = fill in the blank 28
Sunday = fill in the blank 29

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related General Management Questions!

Q:

Problem 9-09 (Algorithmic) Epsilon Airlines services predominantly the eastern and southeastern United States. The vast majority of Epsilon's customers make reservations through Epsilon's website,...

Q:

Problem 9-09 (Algorithmic) Epsilon Airlines services predominantly the eastern and southeastern united States. The vast majority of Epsilons customers make reservations through Epsilons website, but...

Q:

Problem 9-09 (Algorithmic) Epsilon Airlines services predominantly the eastern and southeastern united States. The vast majority of Epsilons customers make reservations through Epsilons website, but...

Q:

Problem 9-09 (Algorithmic) Epsilon Airlines services predominantly the eastern and southeastern united States. The vast majority of Epsilon's customers make reservations through Epsilon's website,...

Q:

Problem 9-09 (Algorithmic) Epsilon Airlines services predominantly the eastern and southeastern united States. The vast majority of Epsilon's customers make reservations through Epsilon's website,...

Q:

Problem 9-09 (Algorithmic) Epsilon Airlines services predominantly the eastern and southeastern united States. The vast majority of Epsilon's customers make reservations through Epsilon's website,...

Q:

Problem 9-09 (Algorithmic) Epsilon Airlines services predominantly the eastern and southeastern united States. The vast majority of Epsilon's customers make reservations through Epsilon's website,...

Q:

Problem 9-09 (Algorithmic) Epsilon Airlines services predominantly the eastern and southeastern United States. The vast majority of Epsilon's customers make reservations through Epsilon's website,...

Q:

Problem 9-09 (Algorithmic) Epsilon Airlines services predominantly the eastern and southeastern united States. The vast majority of Epsilons customers make reservations through Epsilons website, but...

Q:

9-09 (Algorithmic) Epsilon Airlines services predominantly the eastern and southeastern united States. The vast majority of Epsilon's customers make reservations through Epsilon's website, but a...

Q:

Suppose that your company has a software system, which was developed based on SOA (Service-Oriented Architectures) Web Services. Later, the system was transformed to REST (Resource-Oriented...

Q:

A 3.00-kg mass starts from rest and slides a distance d down a frictionless 30 degree incline. Whilesliding, it comes into contact with an unstressed spring ofnegligble mass, as shown below. (drawn...

Q:

What conflict was the law supposed to resolve on tax form act of 1 9 8 6

Q:

CHC Salmon Processing manufactures and sells canned salmon to restaurants. Variable cost per can amounts to $3 and the selling price of each can is $30. Total annual fixed costs amount to...