Programming Linear formulations Set up the linear programming models for the following problems, and answer the questions after solving the problems using Excel Solver. 1. Media Selection. 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. Constraint Audience per ad Cost per ad Maxuimum Media usage TV Radio Newspaper 100,000 18,000 40,000 2,000 $ 300.00 $600 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. 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 advertising budget?