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 9% 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 $6000 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 $…..million. The maximum annual interest is$

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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 9% 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 $6000 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 $…..million. The maximum annual interest is$…..
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