Solve the following linear | Computer Science homework help

  

1. Solve the following linear programming problem graphically:
maximize 2X1 3X2
subject to X1 8
X2 6
X1 2X2 16
X1
, X2 0
Units of L per period 

2. In problem 1, how would the optimal solution change if the restrictions imposed (i.e.,
the ri’s) were all cut in half? 

3. Solve the following linear programming problem using the general solution method:
minimize C 3X1 4X2
subject to X1 X2 2
2X1 4X2 5
X1
, X2 0 

4. The advertising manager at Cadillac wishes to run both television and magazine ads to
promote the new Cadillac GTS in the greater Chicago area market. Each 30-second television ad will reach 30,000 viewers in the target age group of buyers 35 to 55 years old.
Running one full page ad in Cool Driver magazine will reach 10,000 readers in the 35 to 55
year-old target market. To further promote the new GTS, the manager wishes to stimulate
prospective buyers to come in to Chicago area dealerships to test drive the GTS. Past
experience in Chicago indicates that a television ad will generate 500 test dri- ves, while a
magazine ad will generate only 250 test drives.
In order to reach the desired level of new-model penetration in the Chicago area, the
advertising manager believes it is necessary to reach at least 90,000 potential buyers in the 35
to 55 age bracket and to get at least 2,000 of these potential buyers to take a test drive. Each
30- second TV ad costs $100,000 and each magazine ad costs $40,000. In reaching these
objectives, the manager wishes to minimize the total expenditure on TV and magazine ads.
a. State the linear programming problem facing this advertising manager. Be sure to
formulate the objective function and inequality constraints (including appropriate nonnegativity constraints).
b. Solve the linear programming problem. What is the optimal number of TV ads and
magazine ads? What will be the minimum possible level of total expenditures on
television and magazine ads necessary to successfully promote the GTS in Chicago?
c. Suppose the local television stations, in order to reduce set-up costs, require Cadillac
to run its ad two or more times. How would this constraint alter the solution to this
linear programming problem?

5. Form the dual to the linear programming problem presented in problem 3; then solve
it to obtain the optimal value of C . Does the minimum value of C for the primal in
Problem 3 equal the maximum value of C in the dual for this problem? 

Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
$26
The price is based on these factors:
Academic level
Number of pages
Urgency
Basic features
  • Free title page and bibliography
  • Unlimited revisions
  • Plagiarism-free guarantee
  • Money-back guarantee
  • 24/7 support
On-demand options
  • Writer’s samples
  • Part-by-part delivery
  • Overnight delivery
  • Copies of used sources
  • Expert Proofreading
Paper format
  • 275 words per page
  • 12 pt Arial/Times New Roman
  • Double line spacing
  • Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

Read more

Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

Read more

Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

Read more

Privacy policy

Your email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

Read more

Fair-cooperation guarantee

By sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

Read more