A candidate for political office in a small town has allocated $45,000 for last minute advertising in the days before the election. Two types of ads will be used: radio and television.
Each radio ad costs $200 and reaches an estimated 3,000 people. Each television ad costs $550 and reaches an estimated 7,000 people.
In planning the advertising campaign, the manager would like to reach as many people as possible, but has stipulated that at least 12 ads of each type be used. Also, the number of radio ads must be greater than or equal to the number of TV ads.
How many ads of each type should be used to maximize total audience? How many people will this allocated budget reach?