A candidate for mayor in a small town has allocated $$40,000$ for last$-$minute advertising in the days preceding the election. Two types of ads will be used: radio and television. Each radio ad costs $$200$ and reaches an estimated $3000$ people. Each television ad costs $$500$ and reaches an estimated $7,000$ 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 $10$ 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. How many ads of each type should be used? How many people will this reach?