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/Ad              # Reached                Exposure Quality

TV                       500                     10000                          30

Radio                   200                      3000                          40

Newspaper            400                      5000                           25

If the number of TV ads cannot exceed the number of radio ads by more that 4, and if the advertising budget is $10,000, develop the model that will maximize the number reached and achieve an exposure quality of at least 1000.

a.  Set up the problem (provide the objective function and set of constraints).

b. finds the optimal solution using Management Scientist.

c.  List the values of the objective function and the decision variables in the optimal solution you've found.

NOTE:  I just need help to set up the problem.