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An investor has at most $40,000 to invest in government bonds, mutual funds, and money market funds. The average yields for the government bonds, mutual funds and money market funds are 7%, 10%, and 12% respectively. The investor's policy requires that the total amount invested in mutual and money market funds not exceed the amount invested in government bonds. How much should be invested in each type of investment in order to maximize the return? What is the maximum return in the first year? How much should be invested in government bonds?

An investor has at most $40,000 to invest in government bonds, mutual funds, and money market funds. The average yields for the government bonds, mutual funds and money market funds are 7%, 10%, and 12% respectively. The investor's policy requires that the total amount invested in mutual and money market funds not exceed the amount invested in government bonds. How much should be invested in each type of investment in order to maximize the return? What is the maximum return in the first year? How much should be invested in government bonds?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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An investor has at most $40,000 to invest in government bonds, mutual funds, and money market funds. The average yields for the government bonds, mutual funds, and money market funds are 7%, 10%, and 12% respectively. The investor's policy requires that the total amount invested in mutual and money market funds not exceed the amount invested in government bonds. How much should be invested in each type of investment in order to maximize the return? What is the maximum return in the first year? How much should be invested in government bonds?
Transcribed Image Text:An investor has at most $40,000 to invest in government bonds, mutual funds, and money market funds. The average yields for the government bonds, mutual funds, and money market funds are 7%, 10%, and 12% respectively. The investor's policy requires that the total amount invested in mutual and money market funds not exceed the amount invested in government bonds. How much should be invested in each type of investment in order to maximize the return? What is the maximum return in the first year? How much should be invested in government bonds?
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