Linear Programming Decision Making – Lab TWO
In last week’s homework we concentrated on linear programming as a deterministic decision making tool. The example however was not relevant in today’s working world (too simple). This lab should provide a much more relevant exercise; determining the product mix to maximize profit over an extended planning horizon, with multiple products and multiple workstations (or locations).
Consider an organization that produces three products (X,Y and Z) and has available 4 workstations (A,B,C and D). The production time (in minutes) per unit produced varies from workstation to workstation (due to different manning levels) as shown below:
A B C D
Product X 5 7 4 10
Y 6 12 8 15
Z 12 14 9 17
Similarly the profit contribution (contribution to fixed costs) per unit produced varies as a function of the workstation it is produced on, given the age and quality of the specific workstation.
A B C D
Product X 10 8 6 9
Y 18 20 15 17
Z 15 16 14 17
We are going to consider a two week planning horizon. The following number of hours are available per workstation per week.
Workstation Week One Week Two
A 30 50
B 40 30
C 35 20
D 45 35
The demand for each product are given below in each week and a total for both weeks (i.e., you must “hit” all 3 minimums)
Product Week One Week Two Total For Both Weeks
Minimum Minimum Minimum
X 80 120 220
Y 150 120 300
Z 120 90 220
1 – Provide a mathematical formulation,
2 – Provide the Excel file for the A,b and F matrices and also a screen shot of your inputs in the Word Doc.
3- Screen shot of Matlab results and Matlab script.
4 – A brief interpretation of the results.
5 – What would the revised solution be if Workstation A hours were increased 25%.
6 – What would you change to increase profits at least 20%?
7- Consider any problem you are interested in; provide the following:
A – A brief description of the problem (one paragraph or less)
B – What is the goal to maximize or minimize? (one or two sentences)
C – What are the proposed decision variables?
D – Mathematical Formulation
E – What problems do you foresee with application of this technique?
8 – Brief comment about the appropriateness of this technique in your career path.
Why Work with Us
Top Quality and Well-Researched Papers
We always make sure that writers follow all your instructions precisely. You can choose your academic level: high school, college/university or professional, and we will assign a writer who has a respective degree.
Professional and Experienced Academic Writers
We have a team of professional writers with experience in academic and business writing. Many are native speakers and able to perform any task for which you need help.
Free Unlimited Revisions
If you think we missed something, send your order for a free revision. You have 10 days to submit the order for review after you have received the final document. You can do this yourself after logging into your personal account or by contacting our support.
Prompt Delivery and 100% Money-Back-Guarantee
All papers are always delivered on time. In case we need more time to master your paper, we may contact you regarding the deadline extension. In case you cannot provide us with more time, a 100% refund is guaranteed.
Original & Confidential
We use several writing tools checks to ensure that all documents you receive are free from plagiarism. Our editors carefully review all quotations in the text. We also promise maximum confidentiality in all of our services.
24/7 Customer Support
Our support agents are available 24 hours a day 7 days a week and committed to providing you with the best customer experience. Get in touch whenever you need any assistance.
Try it now!
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.
No need to work on your paper at night. Sleep tight, we will cover your back. We offer all kinds of writing services.
No matter what kind of academic paper you need and how urgent you need it, you are welcome to choose your academic level and the type of your paper at an affordable price. We take care of all your paper needs and give a 24/7 customer care support system.
Admission Essays & Business Writing Help
An admission essay is an essay or other written statement by a candidate, often a potential student enrolling in a college, university, or graduate school. You can be rest assurred that through our service we will write the best admission essay for you.
Our academic writers and editors make the necessary changes to your paper so that it is polished. We also format your document by correctly quoting the sources and creating reference lists in the formats APA, Harvard, MLA, Chicago / Turabian.
If you think your paper could be improved, you can request a review. In this case, your paper will be checked by the writer or assigned to an editor. You can use this option as many times as you see fit. This is free because we want you to be completely satisfied with the service offered.