A pension fund manager decides to invest a total of at most $40 million in U.S. Treasury bonds paying 4% annual interest and in mutual funds paying 6% annual interest. He plans to invest at least $5 million in bonds and at least $25 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 maximize annual interest? What is the maximum annual interest? The amount that should be invested in Treasury bonds is $ million. mutual funds is $ million and the amount that should be invested in

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 $40 million in U.S. Treasury bonds paying 4% annual
interest and in mutual funds paying 6% annual interest. He plans to invest at least $5 million in bonds and at least
$25 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 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.
Transcribed Image Text:A pension fund manager decides to invest a total of at most $40 million in U.S. Treasury bonds paying 4% annual interest and in mutual funds paying 6% annual interest. He plans to invest at least $5 million in bonds and at least $25 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 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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