You are starting a new ad campaign to reach at least $100000$ persons. Two types of ads will be used: radio and television. Each radio ad costs $$2000$ and reaches an estimated $30,000$ people. Each television ad costs $$5000$ and reaches an estimated $70,000$ people. In planning the advertising campaign, the campaign manager would like to spend as little money 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 many as the number of television ads.