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?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
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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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