s, and maximum media usage limitations are as shown: Constraints Television Radio Online Audience per advert 1000,000 18000 40,000 Cost per Advert $2000 $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 10% of the total number of advertisements authorized. If the promotional budget is limited to $18,200, how many commercial messages should be run on each medium to maximize total audience contact? What is the al- location of the budget among the three media, and what is the total audience reached? By how much would audience contact increase if an extra $100 were allocated to the promotional budget?

The New West 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 online. Audience estimates, costs, and maximum media usage limitations are as shown Constraints Audience per advert Television 1000,000 Radio 18000 Online 40,000 $300 $2000 10 S600 10 Cost per Advert Maximum media usage 20 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 $18,200, how many commercial messages should be run on each medium to maximize total audience contact? What is the al location of the budget among the three media, and what is the total audience reached? b) By how much would audience contact increase if an extra $100 were allocated to the promotional budget