The Westchester Chamber of Commerce periodically sponsors public service seminars and programs. Currently, promotional plans are under way for this year’s program. Advertising alternatives include television, radio, and newspaper. Audience estimates, costs, and maximum media usage limitations are as shown. Constraint Television Radio Newspaper Audience per advertisement 90,000 19,000 42,000 Cost per advertisement $2,000 $300 $600 Maximum media usage 10 20 10 To ensure a balanced use of advertising media, radio advertisements must not exceed 50% of the total number of advertisements authorized. In addition, television should account for at least 15% of the total number of advertisements authorized. If the promotional budget is limited to $19,500, how many commercial messages should be run on each medium to maximize total audience contact? Formulate this problem as an LP model.