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:
TV Radio Newspaper
Audience Reached 60,000 25,000 40,000
Cost per Advertisement $400 $75 $250
Usage Limits 10 20 10
The total number of advertisements on television and radio cannot exceed 12. Develop a linear programming model for this problem.