OPERATIONS RESEARCH >INTERNATIONAL EDITI
OPERATIONS RESEARCH >INTERNATIONAL EDITI
4th Edition
ISBN: 9780534423629
Author: WINSTON
Publisher: CENGAGE L
Question
Book Icon
Chapter 4.16, Problem 1P
Program Plan Intro

The advertising agency is trying to determine a TV advertising schedule for Priceler Auto company.

Let the following variables,

x1=The number of minutes of ads shown during football games

x2=The number of minutes of ads shown during soap operas

When the decision maker is not able to determine precisely the relative importance of goals, the pre-emptive goal programming is used. The decision maker must rank or order the goals from the most important to east important goal in order to apply preemptive goal programming.

The objective function coefficient for the variable representing goal i will be Pi. Assume,

P1>>P2>>...>>Pn

Therefore, the pre-emptive programming formulation for the Priceler problem is,

Minimize, z=P1S1-+P2S2-+P3S3-

Subject to the constraints,

7x1+3x2+S1--S1+=40(HIM constraint)5x1+10x2+S2--S2+=60(LIP constraint)5x1+4x2+S3--S3+=35(HIW constraint)100x1+60x2600(Budget constraint)

In the above, the deviational variables are, Si-,Si+. All the variables are, non-negative.

The optimal solution can be found graphically when the preemptive goal programming involves only two decision variables. The graph of constraints for Priceler is shown below,

OPERATIONS RESEARCH >INTERNATIONAL EDITI, Chapter 4.16, Problem 1P

Explanation of Solution

b.

Determining HIM is highest priority goal, followed by LIP and then HIW:

  • In this case, HIM has the highest priority goal followed by LIP and HIW. In the graph, it is found that (6,0) is the only point that satisfies the HIM constraint, the budget constraint and the LIP constraint.
  • Therefore, from all the points satisfying highest priority goals, the point x1

Explanation of Solution

c.

Determining HIM is highest priority goal, followed by HIW and then LIP:

  • In this case, HIM has the highest priority goal followed by HIW and LIP. The intersection between the HIM constraint and the budget line is the point that satisfies the HIM goal and the budget constraint and is closest to the HIW constraint.
  • The above stated point can be found by solving the set of equations simultaneously.

    7x1+3x2=40(HIM constraint)100x1+60x2

Explanation of Solution

d.

Determining HIM is highest priority goal, followed by HIM and then LIP:

  • In this case, HIW has the highest priority goal followed by HIM and LIP. The HIW goal that is the closest to HIM is point C and is the point satisfying the budget constraint.
  • The above stated point can be found by solving the set of equations simultaneously.

    5x1+4x2=35(HIW constraint)100x1+60x2<

Blurred answer
Students have asked these similar questions
For this question you will perform two levels of quicksort on an array containing these numbers: 59 41 61 73 43 57 50 13 96 88 42 77 27 95 32 89 In the first blank, enter the array contents after the top level partition. In the second blank, enter the array contents after one more partition of the left-hand subarray resulting from the first partition. In the third blank, enter the array contents after one more partition of the right-hand subarray resulting from the first partition. Print the numbers with a single space between them. Use the algorithm we covered in class, in which the first element of the subarray is the partition value.   Question 1 options: Blank # 1   Blank # 2   Blank # 3
1. Transform the E-R diagram into a set of relations. Country_of Agent ID Agent H Holds Is_Reponsible_for Consignment Number $ Value May Contain Consignment Transports Container Destination Ф R Goes Off Container Number Size Vessel Voyage Registry Vessel ID Voyage_ID Tonnage
I want to solve 13.2 using matlab please help

Chapter 4 Solutions

OPERATIONS RESEARCH >INTERNATIONAL EDITI

Ch. 4.5 - Prob. 1PCh. 4.5 - Prob. 2PCh. 4.5 - Prob. 3PCh. 4.5 - Prob. 4PCh. 4.5 - Prob. 5PCh. 4.5 - Prob. 6PCh. 4.5 - Prob. 7PCh. 4.6 - Prob. 1PCh. 4.6 - Prob. 2PCh. 4.6 - Prob. 3PCh. 4.6 - Prob. 4PCh. 4.7 - Prob. 1PCh. 4.7 - Prob. 2PCh. 4.7 - Prob. 3PCh. 4.7 - Prob. 4PCh. 4.7 - Prob. 5PCh. 4.7 - Prob. 6PCh. 4.7 - Prob. 7PCh. 4.7 - Prob. 8PCh. 4.7 - Prob. 9PCh. 4.8 - Prob. 1PCh. 4.8 - Prob. 2PCh. 4.8 - Prob. 3PCh. 4.8 - Prob. 4PCh. 4.8 - Prob. 5PCh. 4.8 - Prob. 6PCh. 4.10 - Prob. 1PCh. 4.10 - Prob. 2PCh. 4.10 - Prob. 3PCh. 4.10 - Prob. 4PCh. 4.10 - Prob. 5PCh. 4.11 - Prob. 1PCh. 4.11 - Prob. 2PCh. 4.11 - Prob. 3PCh. 4.11 - Prob. 4PCh. 4.11 - Prob. 5PCh. 4.11 - Prob. 6PCh. 4.12 - Prob. 1PCh. 4.12 - Prob. 2PCh. 4.12 - Prob. 3PCh. 4.12 - Prob. 4PCh. 4.12 - Prob. 5PCh. 4.12 - Prob. 6PCh. 4.13 - Prob. 2PCh. 4.14 - Prob. 1PCh. 4.14 - Prob. 2PCh. 4.14 - Prob. 3PCh. 4.14 - Prob. 4PCh. 4.14 - Prob. 5PCh. 4.14 - Prob. 6PCh. 4.14 - Prob. 7PCh. 4.16 - Prob. 1PCh. 4.16 - Prob. 2PCh. 4.16 - Prob. 3PCh. 4.16 - Prob. 5PCh. 4.16 - Prob. 7PCh. 4.16 - Prob. 8PCh. 4.16 - Prob. 9PCh. 4.16 - Prob. 10PCh. 4.16 - Prob. 11PCh. 4.16 - Prob. 12PCh. 4.16 - Prob. 13PCh. 4.16 - Prob. 14PCh. 4.17 - Prob. 1PCh. 4.17 - Prob. 2PCh. 4.17 - Prob. 3PCh. 4.17 - Prob. 4PCh. 4.17 - Prob. 5PCh. 4.17 - Prob. 7PCh. 4.17 - Prob. 8PCh. 4 - Prob. 1RPCh. 4 - Prob. 2RPCh. 4 - Prob. 3RPCh. 4 - Prob. 4RPCh. 4 - Prob. 5RPCh. 4 - Prob. 6RPCh. 4 - Prob. 7RPCh. 4 - Prob. 8RPCh. 4 - Prob. 9RPCh. 4 - Prob. 10RPCh. 4 - Prob. 12RPCh. 4 - Prob. 13RPCh. 4 - Prob. 14RPCh. 4 - Prob. 16RPCh. 4 - Prob. 17RPCh. 4 - Prob. 18RPCh. 4 - Prob. 19RPCh. 4 - Prob. 20RPCh. 4 - Prob. 21RPCh. 4 - Prob. 22RPCh. 4 - Prob. 23RPCh. 4 - Prob. 24RPCh. 4 - Prob. 26RPCh. 4 - Prob. 27RPCh. 4 - Prob. 28RP
Knowledge Booster
Background pattern image
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Operations Research : Applications and Algorithms
Computer Science
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Brooks Cole
Text book image
Information Technology Project Management
Computer Science
ISBN:9781337101356
Author:Kathy Schwalbe
Publisher:Cengage Learning
Text book image
Principles of Information Systems (MindTap Course...
Computer Science
ISBN:9781285867168
Author:Ralph Stair, George Reynolds
Publisher:Cengage Learning
Text book image
Fundamentals of Information Systems
Computer Science
ISBN:9781305082168
Author:Ralph Stair, George Reynolds
Publisher:Cengage Learning
Text book image
C++ for Engineers and Scientists
Computer Science
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Course Technology Ptr
Text book image
C++ Programming: From Problem Analysis to Program...
Computer Science
ISBN:9781337102087
Author:D. S. Malik
Publisher:Cengage Learning