A candidate for mayor in a small town has allocated

$$$$40$ comma $00040,000$

for$$ last$-$minute advertising in the days preceding the election. Two types of ads will be$$ used: radio and television. Each radio ad costs

$$$$250250$

and reaches an estimated

$4$ comma $0004,000$

people. Each television ad costs

$$$$500500$

and reaches an estimated

$7$ comma $0007,000$

people. In planning the advertising$$ campaign, the campaign manager would like to reach as many people as$$ possible, but she has stipulated that at least

$1515$

ads of each type must be used.$$ Also, the number of radio ads must be at least as great as the number of television ads.