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The campaign manager for a politician who is running for reelection to a political office is...

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Advance Math

The campaign manager for a politician who is running forreelection to a political office is planning the campaign. Fourways to advertise have been selected: TV ads, radio ads,billboards, and social media advertising buys. The costs of theseare $900 for each TV ad, $500 for each radio ad, $600 for abillboard for 1 month, and $180 for each buy on social media(approximately 40,000 unique impressions). The audience reached byeach type of advertising has been estimated to be 40,000 for eachTV ad, 32,000 for each radio ad, 34,000 for each billboard, and17,000 for each social media buy. The total monthly advertisingbudget is $16,000. The following goals have been established andranked:

  1. The number of people reached should be at least 1,500,000.
  2. The total monthly advertising budget should not beexceeded.
  3. Together, the number of ads on either TV or radio should be atleast 6.
  4. No more than 10 ads/buys of any one type should be used.
    1. Formulate this as a goal programming problem.
    2. Solve this using computer software.
    3. Which goals are exactly met and which are not?

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