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An Ad Campaign for a New Snack Chip Will Be

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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 5001000030 Radio 200300040 Newspaper 400500025\begin{array} { c c c c } \text { Medium } & \text { Cost Per Ad } & \text { \# Reached } & \text { Exposure Quality } \\\hline \text { TV } & 500 & 10000 & 30 \\\text { Radio } & 200 & 3000 & 40 \\\text { Newspaper } & 400 & 5000 & 25\end{array} 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.

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Let T = the number of TV ads
L...

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