Thread: linear programming, quantitive math

I have a question like this that will be on a test coming up soon and I need to know how to approach this problem. Basically I just need to know hot to set the problem up, you know, the coefficents variables and constraints. Once I have the problem together I can solve it, but I just need to know how to configure it. Thanks



An ad campaign for a new snack chip will be conducted in a limited geographical area and can use TV time, radio time, and newspaper ads. Information about each medium is shown below.

Medium/ Cost Per Ad/ # Reached/ Exposure Quality
TV /500 /10000/ 30
Radio /200 /3000/ 40
New /400 /5000/ 25

If the number of TV ads cannot exceed the number of radio ads by more than 4, and if the advertising budget is $10000, develop the model that will maximize the number reached and achieve an exposure quality of at least 1000.

Objective function-To maximize the number reached

Hello, jwells1999!

An ad campaign for a new snack chip can use TV time, radio time, and newspaper ads.
Information about each medium is shown below.



If the number of TV ads cannot exceed the number of radio ads by more than 4,
and if the advertising budget is $10000, develop the model that will maximize
the number reached and achieve an exposure quality of at least 1000.

Objective function: To maximize the number reached

Let = number of TV ads.
Let = number of radio ads.
Let = number of newspaper ads.


Then the chart looks like this:




And we have these inequalities:

. . . . . .




Objective function: .