
Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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An ad campaign ror a new snack chip WIll be conaucted in a limited geograpnical area and can use TV
time, radio time, and newspaper ads. Information about each medium is shown below.
Medium
Cost Per Ad # Reached
Exposure Quality
TV
500
10000
30
Radio
250
2500
40
Newspaper
150
2000
25
Consider the following limitations: (1) the advertising budget is $20,000, and (2) they must achieve an
exposure quality of at least 1000, (3) the number of TV ads cannot exceed the number of radio ads by
more than 4.
Develop and solve an LP model to determine the number of ads in each medium in order to maximize the
total number reached.
Hint: to avoid errors and confusions, first write down the algebraic formulation on paper before solving the
model in Excel.
(a) What is the optimal solution?
Optimal number of TV ads is
Optimal number of Radio ads is
Optimal number of Newspaper ads is
(b) The maximum total number reached is
(c)How much do they have to pay for the optimal number of TV ads?
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