Mexico plant. 9. Promotional Budgeting. The Westchester Chamber of Commerce periodically spon- sors 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: Chapter 12 Linear Optimization Models Television Radio Online Constraint Audience per advertisement 100,000 18,000 40,000 $2,000 $300 $600 Cost per advertisement 20 10 10 Maximum media usage 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 allocation 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?