A candidate for mayor of a city has allocated 500,000 for last-minute advertising in the 30 days preceding election. Two types of ads will be used: radio and television. Each radio ad costs 2,500 and reaches an estimated 3,000 people. Each television costs 6,000 and reaches an estimated 8,000 people. In planning the advertising campaign, the campaign manager would like to reach as many people as possible, but he has stipulated that at least 20 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.

Let R = the number of radio ads

T = the number of television ads

1. State mathematically the objective function.
2. State mathematically the constraints, excluding the non-negativity constraints.