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The Westchester Chamber of Commerce periodically sponsors publicservice seminars and programs. Currently, promotional plans areunder way for this yearβs program. Advertising alternatives includetelevision, radio, and newspaper. Audience estimates, costs, andmaximum media usage limitations are as shown:ConstraintTelevisionRadioNewspaperAudience per advertisement1000001800020000Cost per advertisement$2000$300$600Maximum media usage102010To ensure a balanced use of advertising media, radioadvertisements must not exceed 50% of the total number ofadvertisements authorized. In addition, television should accountfor at least 10% of the total number of advertisementsauthorized.If the promotional budget is limited to $31,100, how manycommercial messages should be run on each medium to maximize totalaudience contact? What is the allocation of the budget among thethree media? If required, round your answers to the nearest dollar.LetT = number of television spot advertisementsR = number of radio advertisementsN = number of newspaper advertisementsBudget ($)T = ββR = ββN = ββTotal Budget = $Β Β What is the total audience reached? Round your answer to thenearest whole number.ββββββββββBy how much would audience contact increase if an extra $100were allocated to the promotional budget? Round your answer to thenearest whole number.ββββββββββββ