1. 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:
2. ConstraintTelevisionRadioNewspaperAudience per advertisement1500001400045000Cost per advertisement$1500$200$420Maximum media usage101720To 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.
3. If the promotional budget is limited to $25400, 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 answer to nearest integer.
5. LetT= number of television spot advertisementsR= number of radio advertisementsN= number of newspaper advertisements
6. Budget $T=R=N=
7. What is the total audience reached?
11. By how much would audience contact increase if an extra $100 were allocated to the promotional budget?