Operations Research : Applications and Algorithms
Operations Research : Applications and Algorithms
4th Edition
ISBN: 9780534380588
Author: Wayne L. Winston
Publisher: Brooks Cole
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Chapter 11.2, Problem 1P

Explanation of Solution

a.

Formulating an NLP:

Define the variable as follows,

  • S is the number of soap opera ads,
  • F is the number of football ads,
  • Z is cost function

Non-linear Programming problem to minimize the company’s cost of reaching enough viewers is as follows:

Min Z = 50000S + 100000F

Such that,

         x

Explanation of Solution

b.

NLP violating the Proportionality and Additivity Assumptions:

  • Proportionality is referred to as the property by which a change in a variable will result in a proportionate change in that variable’s contribution to the function’s value...

Explanation of Solution

c)

Realistic representation of the number of women viewers:

Consider hypothetically that the number of women reached by F football ads and S soap opera ads is as follows:

7F+20S0

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Operations Research : Applications and Algorithms

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