WE WRITE CUSTOM ACADEMIC PAPERS

100% Original, Plagiarism Free, Tailored to your instructions

Order Now!

operation research assigment

simplex method, maximization and minimization problem

Document Preview:

Birla Institute of Technology and Science, Pilani
Work Integrated Learning Programme Division
Second Semester 2013-14
Assignment 1
EC-1 (Regular)
Course No. : AAOC ZC 222
Course Title : Optimization
Nature of Exam : Home assignment
Weightage : 7%
Note: All questions are compulsory and carry seven marks
1 Mr. Subhash has taken Rs. 100,000 from his father to invest them in a combination of only two stock portfolios with the maximum investment allowed in either portfolio set at Rs. 75,000. The first portfolio has an average return of 10% whereas the second has 20%. In terms of risk factors associated with these portfolios, the first has a risk rating of 4 (on a scale from 0 to 10), and the second has 9. Since he wants to maximize his return, he will not accept an average rate return below 12% or a risk above 6. Hence, he then faces the important question. How much should he invest in each portfolio?
Formulate the above as linear programming problem.
Solve (a) by graphical method.
2 Consider the following LPP
Solve using simplex method.
Hence, using the sensitivity analysis, find the new optimal solution of the LPP if the availability of the second constraint is changed from 11 to 15.
3 Consider the following LPP
Without using artificial variable(s), solve the given LPP (do not solve the the dual problem).
Write the dual of the above problem.
4 Consider the following LP
Using M-method solve the above LP. Does the problem has alternative optimal solution? If so, find all the alternative optimal solutions.
Write the dual of the above problem. Also, write the optimal solution of the dual problem (from the optimal table of part (a)).
What can you conclude regarding the relationship of solution of primal and dual problems?
5 The following is an optimal LP tableau:
Basic
Solution
1
0
0
0
3
2
?
0
0
0
1
1
-1
2
0
0
1
0
1
0
6
0
1
0
0
-1
1
2
The variables,andare slacks in the original problem. Using matrix manipulations,…

Our Service Charter

  1. Excellent Quality / 100% Plagiarism-Free

    We employ a number of measures to ensure top quality essays. The papers go through a system of quality control prior to delivery. We run plagiarism checks on each paper to ensure that they will be 100% plagiarism-free. So, only clean copies hit customers’ emails. We also never resell the papers completed by our writers. So, once it is checked using a plagiarism checker, the paper will be unique. Speaking of the academic writing standards, we will stick to the assignment brief given by the customer and assign the perfect writer. By saying “the perfect writer” we mean the one having an academic degree in the customer’s study field and positive feedback from other customers.
  2. Free Revisions

    We keep the quality bar of all papers high. But in case you need some extra brilliance to the paper, here’s what to do. First of all, you can choose a top writer. It means that we will assign an expert with a degree in your subject. And secondly, you can rely on our editing services. Our editors will revise your papers, checking whether or not they comply with high standards of academic writing. In addition, editing entails adjusting content if it’s off the topic, adding more sources, refining the language style, and making sure the referencing style is followed.
  3. Confidentiality / 100% No Disclosure

    We make sure that clients’ personal data remains confidential and is not exploited for any purposes beyond those related to our services. We only ask you to provide us with the information that is required to produce the paper according to your writing needs. Please note that the payment info is protected as well. Feel free to refer to the support team for more information about our payment methods. The fact that you used our service is kept secret due to the advanced security standards. So, you can be sure that no one will find out that you got a paper from our writing service.
  4. Money Back Guarantee

    If the writer doesn’t address all the questions on your assignment brief or the delivered paper appears to be off the topic, you can ask for a refund. Or, if it is applicable, you can opt in for free revision within 14-30 days, depending on your paper’s length. The revision or refund request should be sent within 14 days after delivery. The customer gets 100% money-back in case they haven't downloaded the paper. All approved refunds will be returned to the customer’s credit card or Bonus Balance in a form of store credit. Take a note that we will send an extra compensation if the customers goes with a store credit.
  5. 24/7 Customer Support

    We have a support team working 24/7 ready to give your issue concerning the order their immediate attention. If you have any questions about the ordering process, communication with the writer, payment options, feel free to join live chat. Be sure to get a fast response. They can also give you the exact price quote, taking into account the timing, desired academic level of the paper, and the number of pages.

Excellent Quality
Zero Plagiarism
Expert Writers

Instant Quote

Subject:
Type:
Pages/Words:
Single spaced
approx 275 words per page
Urgency (Less urgent, less costly):
Level:
Currency:
Total Cost: NaN

Get 10% Off on your 1st order!