A pension fund manager decides to invest a total of at most $30 million in U.S. Treasury bonds paying 3% annual interest and in mutual funds paying 5% annual interest. He plans to invest at least $5 million in bonds and at least $10 million in mutual funds. Bonds have an initial fee of $100 per million dollars, while the fee for mutual funds is $200 per million. The fund manager is allowed to spend no more than $5000 on fees. How much should be invested in each to maximize annual interest? What is the maximum annual interest? The amount that should be invested in Treasury bonds is $ million and the amount that should be invested in mutual funds is S million. The maximum annual interest is $0