A pension fund manager decides to invest a total of at most ​$35 million in U.S. Treasury bonds paying 3​% annual interest and in mutual funds paying 5​% annual interest. He plans to invest at least ​$ 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 ​$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

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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A pension fund manager decides to invest a total of at most ​$35 million in U.S. Treasury bonds paying 3​% annual interest and in mutual funds paying 5​% annual interest. He plans to invest at least ​$ 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 ​$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

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