Question

Please Answer for Question 2 with complete work and answers hand written

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

Let the No. of ads on TV be a

Let the No. of ads on Social Media be b

Let the No. of ads on Billboards be c

Let the No. of ads on Newspaper be d

Let Z be the number of people reached

LPP

Max Z = 3000a +2200b + 2400c + 8000d

Constraints

800a+400b+500c+100d less than equal to 15000

a + b More than equal to 6

500c + 100 d less than equal to 800 a

500c + 100d - 800d less than equal to 0

a,b,c,d less than equal to 10