Question

Please answer question 2 with complete answers and explanations. Hand written only

2) 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: Maximum number 10 Type of AD TV Social media Billboards Newspapers Cost per AD $800 $400 $500 $100 Audience reached/AD 30,000 22,000 24,000 8,000 10 10 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 newspaper 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? • Formulate the problem as a linear program.

Answer 1

Please find the screenshot of linear programming for the problem. Decision variables are the number of ads of each type ad and the objective function is to maximize the number of people reached via ads.

Decision Variable #ot. Type of AD Type of AD | Cost per AD 1. Maximum Audience reached/AD ADS) - Numbe 10 X2 10 Xz $800 Social Media $400 Bill boards $500 Newspapers | $100 30,000 22,000 24,000 8,000 4.0 X4 1 10 Max. Objective 2 function in - 30,000* X, + 22000*X₂ + 24,000 * Xz + 8,000*X4. sot. X + X₂ 716 500*X3 + 100*X4 - 800*X, < 800* X4 + 400 * X2 + 500 *X3+100* X4 <15,000 X, X2, X3 X4 € so, so } X ,X2, X3 X4 ore integers