A chamber of commerce periodically sponsors public service seminars and programs, and is currently planning this year’s program. Advertising alternatives include television, radio, and the local newspaper, and the audience reach, cost per advertisement, and maximum media usage for each alternative is as follows. Medium Audience Cost Max Usage Television 10,000 $200 10 Radio 1,800 $30 20 Newspaper 4,000 $60 10 The advertising budget is limited to $1,820. To ensure a balanced use of advertising media, radio advertisements must not exceed half of the total number of advertisements, and television must account for at least 10% of the total number of advetisements. Formulate a linear programming model to determine how many advertisements should be run on each medium to maximize total audience reach. You do not need to solve the LP.
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