Final answer:
A local radio station airs a nationally syndicated program like Rush Limbaugh to reduce production costs while attracting both local and national advertisers due to the program's extensive reach and popularity.
Step-by-step explanation:
A local radio station might air a nationally syndicated program like Rush Limbaugh primarily to cut its real costs. By broadcasting a popular national show, the station can pull in a large audience without the expense of producing local content. Moreover, a syndicated show with a significant following—such as Limbaugh's—can attract both national and local advertisers seeking to capitalize on the program's high listenership numbers. This could potentially increase the appeal to national advertisers who want to reach a wider audience and also attract local advertisers who wish to be associated with a notable and established program.