A pension fund manager decides to invest a total of at most $25 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 S10 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 $4000 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 mutual funds is Smillion.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A pension fund manager decides to invest a total of at most $25 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 $4000 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 $25 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 $4000 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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