Westport sponsors an annual fundraising drive to support its police department. Westport has budgeted $5,000 for advertising. Audience reached per advertisement, the cost of each advertisement and the maximum number of advertisements per media type are shown in the following table:

The total number of advertisements on television and radio cannot exceed 12. Develop a linear programming model for this problem.

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Audience Reached Cost per Advertisement Usage Limits TV 60,000 S400 10 Radio 25,000 S75 20 Newspaper 40,000 $250 10