The Westchester Chamber of Commerce periodically sponsors publicservice seminars and programs. Currently, promotional plans areunder way for this year’s program. Advertising alternatives includetelevision, radio, and newspaper. Audience estimates, costs, andmaximum media usage limitations are as shown: Constraint TelevisionRadio Newspaper Audience per advertisement 100000 18000 40000 Costper advertisement $1400 $300 $600 Maximum media usage 10 20 10 Toensure a balanced use of advertising media, radio advertisementsmust not exceed 50% of the total number of advertisementsauthorized. In addition, television should account for at least 10%of the total number of advertisements authorized. If thepromotional budget is limited to $21,200, how many commercialmessages should be run on each medium to maximize total audiencecontact? What is the allocation of the budget among the threemedia? If required, round your answers to the nearest dollar. Let T= number of television spot advertisements R = number of radioadvertisements N = number of newspaper advertisements Budget ($) T= R = N = Total Budget = $ What is the total audience reached?Round your answer to the nearest whole number. By how much wouldaudience contact increase if an extra $100 were allocated to thepromotional budget? Round your answer to the nearest wholenumber.