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, radlo, and newspaper. Audience estimates, costs, and maximum medla usage llmitations are as shown: Constraint Television Radlo Newspaper 20000 Audience per advertisement 100000 18000 Cost per advertisement $2000 $300 $600 Maximum media usage 10 10 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. f the promotional budget is limited to $29,300, how many commercial messages should be run on each medium maximize total audience contact? What is the allocation of the budget among the three media? If required, round your answers to the nearest dollar. Let T number of television spot advertisements number of radio advertisements number of newspaper advertisements Budget ($) T= 10 20000 15 4500 8 4800 Total Budget= $ 29300 What is the total audlence reached? Round your answer to the nearest whole number. 1052000 b. By how much would audience contact increase if an extra $100 were allocated to the promotional budget? Round your answer to the nearest whole number 5130