Answered Essay:

Epsilon Airlines services predominately the eastern and southeastern United States. The 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 as follows:

Minimum Number of
Day Employees Needed
Monday 85
Tuesday 80
Wednesday 50
Thursday 75
Friday 45
Saturday 60
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. Find the optimal solution and determine the total number of call-center employees under the optimal solution. Use Excel Solver.

Let Xi = the number of call center employees who start work on day i (i = 1 = Monday, i = 2 = Tuesday…)

Min X1 + X2 + X3 + X4 + X5 + X6 + X7
X1 + X4 + X5 + X6 + X7
X1 + X2 + X5 + X6 + X7
X1 + X2 + X3 + X6 + X7
X1 + X2 + X3 + X4 + X7
X1 + X2 + X3 + X4 + X5
X2 + X3 + X4 + X5 + X6
X3 + X4 + X5 + X6 + X7
X1, X2, X3, X4, X5, X6, X7 ≥ 0

Total Number of Employees Under the Optimal Solution= ?

There are similar problems on chegg of the same questions but with different numbers. At the end you cannot see the two cutoff boxes but one has an option for ≥, ≤, or =. The other box next to it is where you place your answer in regards to that.

Expert Answer



Min X1 + X2 + X3 + X4 + X5 + X6 + X7
Requirement for Monday X1 + X4 + X5 + X6 + X7 >= 85
Requirement for Tuesday X1 + X2 + X5 + X6 + X7 >= 80
Requirement for Wednesday X1 + X2 + X3 + X6 + X7 >= 50
Requirement for Thursday X1 + X2 + X3 + X4 + X7 >= 75
Requirement for Friday X1 + X2 + X3 + X4 + X5 >= 45
Requirement for Saturday X2 + X3 + X4 + X5 + X6 >= 60
Requirement for Sunday X3 + X4 + X5 + X6 + X7 >= 50
X1, X2, X3, X4, X5, X6, X7 ≥ 0

Excel Spreadsheet Model and Solver Solution:

Optimal Solution:

Total number of employees under the optimal solution = 100 employees

Buy Essay
Calculate your paper price
Pages (550 words)
Approximate price: -

Help Me Write My Essay - Reasons:

Best Online Essay Writing Service

We strive to give our customers the best online essay writing experience. We Make sure essays are submitted on time and all the instructions are followed.

Our Writers are Experienced and Professional

Our essay writing service is founded on professional writers who are on stand by to help you any time.

Free Revision Fo all Essays

Sometimes you may require our writers to add on a point to make your essay as customised as possible, we will give you unlimited times to do this. And we will do it for free.

Timely Essay(s)

We understand the frustrations that comes with late essays and our writers are extra careful to not violate this term. Our support team is always engauging our writers to help you have your essay ahead of time.

Customised Essays &100% Confidential

Our Online writing Service has zero torelance for plagiarised papers. We have plagiarism checking tool that generate plagiarism reports just to make sure you are satisfied.

24/7 Customer Support

Our agents are ready to help you around the clock. Please feel free to reach out and enquire about anything.

Try it now!

Calculate the price of your order

Total price:

How it works?

Follow these simple steps to get your paper done

Place your order

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

Receive the final file

Once your paper is ready, we will email it to you.


Let us write that nagging essay.


Submit Your Essay/Homework Instructions

By clicking on the "PLACE ORDER" button, tell us your requires. Be precise for an accurate customised essay. You may also upload any reading materials where applicable.


Pick A & Writer

Our ordering form will provide you with a list of writers and their feedbacks. At step 2, its time select a writer. Our online agents are on stand by to help you just in case.


Editing (OUR PART)

At this stage, our editor will go through your essay and make sure your writer did meet all the instructions.


Receive your Paper

After Editing, your paper will be sent to you via email.

× How can I help you?