The Spurling Group is considering using magazine outlets to advertise their online Web site. The company has identified seven publishers. Each publisher breaks down its subscriber base into a number of groups based on demographics and location. These data are shown in the table.

The company has set a budget of $ 25,000 for advertising and wants to maximize the number of subscribers exposed to their ads. However, publishers B and D are competitors and only one of these may be chosen. A similar situation exists with publishers C and G. Formulate and solve an integer optimization model to determine which publishers to select and how many groups to purchase for each publisher.

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Publisher Groups Subscribers/Group Cost/Group $1,560 $290 $1,200 $130 $2,500 $7,000 $1,700 5 460,000 50,000 225,000 24,000 5 1,120,000 1 1,700,000 406,000 10 2