The Westchester Chamber of Commerce periodically sponsors public service seminars and programs. Currently, promotional plans are under...

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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 online. Audience estimates, costs, andmaximum media usage limitations are as shown:

ConstraintTelevisionRadioOnline
Audience per advertisement1000001800040000
Cost per advertisement$1400$300$600
Maximum media usage102010

To 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.

  1. If the promotional budget is limited to $18,800, how manycommercial messages should be run on each medium to maximize totalaudience contact? What is the allocation of the budget among thethree media? If required, round your answers to the nearest dollar.
    LetT = number of television spot advertisements
    R = number of radio advertisements
    O = number of online advertisements
    Budget ($)
    T =   
    R =
    O =
    Total Budget = $  

    What is the maximum total audience that would be reached? Roundyour answer to the nearest whole number.

  2. By how much would audience contact increase if an extra $100were allocated to the promotional budget? Round your answer to thenearest whole number.

Answer & Explanation Solved by verified expert
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SOLUTIONLetT number of television spot    See Answer
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