A pension fund manager decides to invest a total of at most $40 million in U. S. Treasury bonds paying 6% annual interest and in mutual funds paying 8% annual interest. He plans to invest at least 5 million in bonds and at least $5 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 $7000 on fees. How much should be invested in each to modimile annual interest? What is the maimum annual interest

the amount that should be invested in treasury bonds is $(?) million and the amount that should be invested in mutual funds is $(?) million