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:
To ensure a balanced use of advertising media, radio advertisements must not exceed 45% of the total number of advertisements authorized. In addition, television should account for at least 10% of the total number of advertisements authorized.
Constraint Television Radio Newspaper
Audience per Advertisement 150,000 14,000 45,000
Cost per Advertisement $1,500 $200 $420
If the Promotional Budget is limited to $25,400, how many commercials messages should be run on each medium to maximize total audience contact?
What is the allocation of the budget amount the three media?
T = Budget $
R= Budget $
N= Budget $
What is the total audience reached?