(30 points) Ternax reaitor company advertises for its 13115111665 through television, radio, and online. Audience estimates, costs, and maximum media usage limitations are as shown: Constraint Television Radio Dnline Audience per advertisement 100000 18000 40000 Cost per advertisement 1300 300 600 Maximum media usage 12 16 12 To ensure a balanced use of advertising media, radio advertisements must not exceed 40% of the totai number of advertisements authorized. In addition, television should account for at least 20% of the total number of advertisements authorized. 1. If the promotional budget is limited to $17600, 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? (Don't worry if your answer is in decinlals}. 2. By how much would audience contact increase if an extra $100 were allocated to the promotional budget