Cashback Offer (20th - 31st October 2020). Get Flat 10% Cashback credited in your account on a minimum transaction of $80. Post Your Question

Question Details Normal
$ 25.00

BUAD831 Assignment 4 Goal Programming

  • From Business, Management
  • Due on 03 Feb, 2015 11:13:00
  • Asked On 31 Jan, 2015 11:44:49
  • Due date has already passed, but you can still post solutions.
Question posted by
Online Tutor Profile


Goal Programming

1.The Relax-and-Enjoy Lake Development Corporation is developing a lakeside community at a privately owned lake and is in the business of selling property for vacation and/or retreat cottages.  The primary market for these lakeside lots includes all middle and upper income families within approximately 100 miles of the development.  Relax-and-Enjoy has employed the advertising firm of Boone, Phillips and Jackson to design the promotional campaign for the project.

After considering possible advertising media and the market to be covered,Boone has made the preliminary recommendation to restrict the first month’s advertising to five sources.  At the end of this month, Boone will then reevaluate its strategy based upon the month’s results.  Boone has collected data on a number of potential purchase families reached, the cost per advertisement, the maximum number of times each medium is available, the expected exposure for each of the five media.The expected exposure is measured in terms of an exposure unit, a management judgment measure of the relative value of one advertisement in each of the media. The measures based on Boone’s experience in the advertising business take into account such factors as audience profile (age, income, and education of the audience reached), image presented, and quality of the advertisement.The information collected to date is presented below.


                                          Advertising Media Alternatives for the

                              Relax-and-Enjoy Lake Development Corporation

                                  Number of                 

                                  Potential                           Maximum

                                  Purchase     Cost per            Times                Expected

                                  Families      Advertise-      Available             Exposure

    Advertising Media      Reached      ment               per Month*          Units

1.  Daytime TV (1 min)    1000          $1500                 15                       65

     Station WKLA

2.  Evening TV (30s)        2000          $3000                 10                       90

     Station WKLA

3.  Daily newspaper          1500            $400                 25                       40

     (full page), The

     Morning Journal

4.  Sunday newspaper       2500           $1000                  4                       60

     Magazine (1/2 pg.

     Color).  The Sunday


5.  Radio, 8:00 a.m. or        300              $100               30                       20

     5:00 p.m. news (30’s)

 __Station KNOP_________________________________________________________


*The maximum number of times the medium is available is either the maximum number of times the advertising medium occurs (e.g. four Sundays for medium 4) or the maximum number of times Boone will allow the medium to be used. 


     Relax-and-Enjoy has provided Boone with an advertising budget of $30,000 for the first month’s campaign.  In addition Relax-and-Enjoy has the following goals and priorities regarding how Boone allocates these funds, as follows:


            Goal 1:   To utilize at least 10 television commercials (Priority 1).


            Goal 2:   To reach at least 50,000 potential purchases during the month 

                           (Priority 2).


            Goal 3:   To spend no more than $18,000 on television advertisements

                           (Priority 3).


            Goal 4:   To come as close as possible to achieving 2400 exposure units

                           (Priority 4).


            Goal 5:   To minimize the advertising budget (Priority 5).


(a)    Formulate a goal programming model of this problem:


DTV= Daytime TV, ETV= Evening TV, DNP= Daily Newspaper, SNP= Sunday Newspaper, R= Radio


Economic constraints:

Goal constraints:

Objective function:

b)Suppose that Boone is working on a similar but smaller problem for another client, and they are considering only two media alternatives,evening T.V. and the daily newspaper.  This second problem can be modified as follows:


3000 X1 + 400 X2 = $24,000 Budget

X1  -  d1+ + d1- = 7

X2 – d2++ d2- = 15

2000 X1 + 1500 X2 – d3+ + d3- = 30,000

Min Z= P1 d1-  + P2  d2+ + P3 d3- + P4  (-d1+)

Determine the optimal solution for this problem.  Give the values of all variables.

 Need detailed solutions


Available Answers
$ 35.00

[Solved] BUAD831 Assignment 4 Goal Programming Complete Work

  • This Solution has been Purchased 2 time
  • Submitted On 05 Feb, 2015 11:12:19
Answer posted by
Online Tutor Profile

(b)    Suppose that Boone is working on a similar but smaller problem for
      another client, and they are considering only two media alternatives,
      evening T.V. and the daily newspaper.  This second problem can be
      modified as follows:
    Advertising Media    No of PP   ...

Buy now to view the complete solution
Other Related Questions

No related question exists

The benefits of buying study notes from CourseMerit

Assurance Of Timely Delivery
We value your patience, and to ensure you always receive your homework help within the promised time, our dedicated team of tutors begins their work as soon as the request arrives.
Best Price In The Market
All the services that are available on our page cost only a nominal amount of money. In fact, the prices are lower than the industry standards. You can always expect value for money from us.
Uninterrupted 24/7 Support
Our customer support wing remains online 24x7 to provide you seamless assistance. Also, when you post a query or a request here, you can expect an immediate response from our side.
Only 45 characters allowed.

$ 629.35