A linear programming computer package is needed. 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 online. Audience estimates, costs, and maximum media usage limitations are as shown. Constraint Television Radio Online Audience per advertisement 200,000 36,000 80,000 Cost per advertisement $2,000 $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. (a) If the promotional budget is limited to $29,700, how many commerdal messages should be run on cach medium to maximize total audience contact? Television Rodia Unine What is the allocation of the budget emmong the three media, and what is the total audience reached? Television Budget Radia Budget Online Budget Total Audience (b) By how much would audience contact increase it an extra $100 were allocated to the promotional budget? (Round your answer to the nearest whole number.) 5130 x