Question: (2) [15 marks] Formulate a goal programming model for the following problem (but do not solve it). A committee in charge of promoting a Ladies

(2) [15 marks] Formulate a goal programming model

(2) [15 marks] Formulate a goal programming model for the following problem (but do not solve it). A committee in charge of promoting a Ladies Professional Football Association tournament is trying to determine how best to advertise the event and obtained the following information about the three advertising media that they are considering using. Category Cost per advertisement TV Radio Newspaper Internet Audience reached per advertisement 200,000 50,000 100,000 300,000 2,500 400 500 2,000 Maximum number of advertisement 10 15 20 5 The committee established the following goals for the campaign. Priority level 1 goal. Goal 1: Reach at least 5 million people. Priority level 2 goal. Goal 2: The number of TV advertisements should be at least 10% of the total number of advertisements. Priority level 3 goal. Goal 3: The number of radio advertisements should not exceed 20% of the total number of advertisements. Priority level 4 goal. Goal 4: The total audience reached by newspaper advertisements should be at least 1 million. Priority level 5 goal. Goal 5: Limit the total expenditure for advertising to 28,000

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