4. An investor is considering three types of investments: a high-risk venture into oil leases with a potential return of 15%, a medium-risk investment in bonds with a 9% return, and a relatively safe stock investment with a 5% return. He has $50,000 to invest. Because of the risk, he will limit his investment in oil leases and bonds to 30% (of the $50,000) and his investment in oil leases and stock to 50%. How much should he invest in each to maximize his return, assuming investment returns are as expected? (a) Define the variables. Be specific with descriptive words. X₁ = x₂ = x3 = (b) Clearly state the constraints (all inequalities) related to the feasible region. (c) State the objective function.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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4. An investor is considering three types of investments: a high-risk venture into oil leases with a
potential return of 15%, a medium-risk investment in bonds with a 9% return, and a relatively safe
stock investment with a 5% return. He has $50,000 to invest. Because of the risk, he will limit his
investment in oil leases and bonds to 30% (of the $50,000) and his investment in oil leases and stock
to 50%. How much should he invest in each to maximize his return, assuming investment returns are
as expected?
(a) Define the variables. Be specific with descriptive words.
x₁ =
x₂ =
x3 =
(b) Clearly state the constraints (all inequalities) related to the feasible region.
(c) State the objective function.
7
Transcribed Image Text:4. An investor is considering three types of investments: a high-risk venture into oil leases with a potential return of 15%, a medium-risk investment in bonds with a 9% return, and a relatively safe stock investment with a 5% return. He has $50,000 to invest. Because of the risk, he will limit his investment in oil leases and bonds to 30% (of the $50,000) and his investment in oil leases and stock to 50%. How much should he invest in each to maximize his return, assuming investment returns are as expected? (a) Define the variables. Be specific with descriptive words. x₁ = x₂ = x3 = (b) Clearly state the constraints (all inequalities) related to the feasible region. (c) State the objective function. 7
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