Eddie Kelly is running for reelection as mayor of a small town in Alabama. Jessica Martinez, Kelly’s campaign manager during this election, is planning the marketing campaign, and there is some stiff competition. Martinez has selected four ways to advertise: television ads, radio ads, billboards, and newspaper ads. The costs of these, the audience reached by each type of ad, and the maximum number available are shown in the following table:

In addition, Martinez has decided that there should be at least six ads on TV or social media or some combination of those two. The amount spent on billboards and newspapers together must not exceed the amount spent on TV ads. While fundraising is still continuing, the monthly budget for advertising has been set at $15,000. How many ads of each type should be placed to maximize the total number of people reached?

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COST AUDIENCE MAXIMUM TYPE OF AD PER AD REACHED/AD NUMBER TV $800 30,000 Social media $400 22,000 Billboards $500 24,000 10 Newspapers $100 8,000 9999 10 10 10