A pension fund manager decides to invest a total of at most $$35$ million in U$.$S$.$ Treasury bonds paying $6\%$ annual interest and in mutual funds paying $8\%$ annual interest. He plans to invest at least $$5$ million in bonds and at least $$15$ million in mutual funds. Bonds have an initial fee of $$100$ per million dollars, while the fee for mutual funds is $$200$ per million. The fund manager is allowed to spend no more than $$6000$ on fees. How much should be invested in each to maximize annual interest? What is the maximum annual interest?