Formulate a linear programming problem that can be used to solve the folliowing question. Suppose for an investment no more than $20,000 is placed in three mutual funds with annual returns of S, 9%, and 10, respectively The investor requires an annual return of at least $1600 and wishes to minimize the risk. The second mutual fund is twice as risky as the firstar third is 4 times as risky as the first. How should the money be allocated to minimize the risk? Let risk 2 dy Xamount of money in dollars invested in the first fund xamount of money in dollars invested in the second fund X amount of money in dollars invested in the third fund Minmize (objective function) Subject to (dollars avalable) (total investment returm)

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
Problem 3SC: In Example 3, if the accountant earns a profit of 100 on each individual return and a profit of 175...
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Formulate a linear programming problem that can be used to solve the folowing question
Suppose for an investment no more than $20,000 is placed in three mutual funds with annual returns of 5%, 9%, and 10, respectively The
investor requires an annual return of at least $1600 and wishes to minimize the risk. The second mutual fund is twice as risky as the first and the
third is 4 times as risky as the first. How should the money be alocated to minimize the risk? Let risk-+ 2+ dey
X= amount of money in doilars invested in the first fund
x amount of money in dollars invested in the second fund
Xy - amount of money in dollars invested in the third fund
Minmize
(objective function)
Subject to
(dollars available)
(total investment return)
Select
0. x Select 0,
Select O
Transcribed Image Text:Formulate a linear programming problem that can be used to solve the folowing question Suppose for an investment no more than $20,000 is placed in three mutual funds with annual returns of 5%, 9%, and 10, respectively The investor requires an annual return of at least $1600 and wishes to minimize the risk. The second mutual fund is twice as risky as the first and the third is 4 times as risky as the first. How should the money be alocated to minimize the risk? Let risk-+ 2+ dey X= amount of money in doilars invested in the first fund x amount of money in dollars invested in the second fund Xy - amount of money in dollars invested in the third fund Minmize (objective function) Subject to (dollars available) (total investment return) Select 0. x Select 0, Select O
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