The first three questions are based on the following case

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

Medium

Cost Per Ad

# People Reached

Exposure Quality

TV

1,000

20,000

35

Radio

600

10,000

45

Internet

300

60,000

5

The number of Internet ads should be at least one third of all ads. Also, the advertising budget is $18,000. Since this is a special program, we would like to develop a model that will minimize the number of people reached while ensuring a minimum exposure quality of 300. Define the decision variables as follows:

Let T = the number of TV ads

Let R = the number of radio ads

Let I = the number of Internet ads

What is the objective function?