Problem:
Eddie Kelly is running for reelection as a mayor of a small town in Alabama. Jessica Martinez , Kelly's campaign manager during the 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 adds. The cost of these, the audience reached by the each type of ad, and the maximum number of each is shown in the following table:
Type Of Ad
|
Cost per Ad
|
Audience/Reached Add
|
Maximum number
|
TV
|
$800
|
30,000
|
10
|
Radio
|
$400
|
22,000
|
10
|
Billboards
|
$500
|
24,000
|
10
|
Newspapers
|
$100
|
8,000
|
10
|
In addition, Martinez has decided that there should be at least six adds on TV or Radio or some combination of those two. The amount spend on bill boards and newspapers together must not exceed the amount spend 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 place to maximize the total number of people reached?