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
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 200 3000 40
Newspaper 400 5000 25
If the number of TV ads cannot exceed the number of radio ads by more than 4, and if the advertising budget is $10000, develop the model that will maximize the number reached and achieve an exposure quality if at least 1000.
Homework Answers
The solver gives the following output for the optimization -
| x | y | z | |||
| 14.28571 | 14.28571 | 0 | 185714.3 | ||
| 7142.857 | 2857.143 | 0 | 10000 | <= | 10000 |
| 428.5714 | 571.4286 | 0 | 1000 | >= | 1000 |
| 14.28571 | 14.28571 | -4 | <= | 0 |
So, the maximum value is = 185714.3.
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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
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$$
\begin{array}{|c|c|c|c|}
\hline \text { Medium } & \begin{array}{c}
\text { Cost per } \\
\text { Advertisement }
\end{array} & \begin{array}{l}
\text { Number } \\
\text { Reached }
\end{array} & \begin{array}{c}
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