Formulate the objective function and formulate the constrain

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Reference no: EM133367725

The restaurant We Got Veggies, Burgers, and Veggie Burgers wants to advertise its upcoming new menu items. Advertising avenues include television, radio, and newspaper. The number of audience members reached and the cost for each type of advertising is shown below:

Television Radio Newspaper
Audience size per ad 100,000 18,000 40,000
Cost per ad $2000 $300 $600

Furthermore, contractual obligations limit the maximum number of TV ads allowed to 10, the maximum number of radio ads to 20, and the maximum number of newspaper ads to 10.

Lastly, to ensure a balanced use of advertising media, radio must not exceed 50% of the total number of ads. Television should account for at least 10% of the total number of ads.

If the promotional budget is $18,200, formulate a linear program that can be used to determine how many ads should be run on each outlet to maximize total audience contact.

(a) Formulate the objective function

(b) Formulate the constraints

Reference no: EM133367725

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