Please state what is the answer and how you get it, thanks.

Problem 4-01 (Algorithmic) 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: Television Constraint Radio Newspaper 100000 18000 20000 Audience per advertisement $2000 Cost per advertisement $300 $600 Maximum media usage 10 25 15 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 10% of the total number of advertisements authorized. a. If the promotional budget is limited to $27,500, how many commercial messages should be run on each medium to maximize total audience contact? What is the allocation of the budget among the three media? If required, round your answers to the nearest dollar. Let T- number of television spot advertisements R number of radio advertisements N 3 number of newspaper advertisements