An ad campaign for a new snack chip be 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. frst ikrite down the algebraic formulation on paper before solving the model in Excel. (a) What is the optimal solution? 9. Optimal number of TV ads is Optimal number of Radio ads is 10 11 Optimal number of Newspaper ads is (b) The maximum total number reached is 12 (c)How much do they have to pay for the optimal number of TV ads? 13

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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An ad campaign for a new snack chip will be conducted in a limited geographical 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 ikrite down the algebraic formulation on paper before solving
the model in Excel.
(a) What is the optimal solution?
Optimal number of TV ads is 9
10
Optimal number of Radio ads is
11
Optimal number of Newspaper ads is
(b) The maximum total number reached is 12
(c)How much do they have to pay for the optimal number of TV ads? 13
Transcribed Image Text:An ad campaign for a new snack chip will be conducted in a limited geographical 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 ikrite down the algebraic formulation on paper before solving the model in Excel. (a) What is the optimal solution? Optimal number of TV ads is 9 10 Optimal number of Radio ads is 11 Optimal number of Newspaper ads is (b) The maximum total number reached is 12 (c)How much do they have to pay for the optimal number of TV ads? 13
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