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 investments in oil leases and bonds to 30% and his investments 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 b. Clearly state the constraints (all inequalities) related to the feasible region c. State the objective function
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 investments in oil leases and bonds to 30% and his investments 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 b. Clearly state the constraints (all inequalities) related to the feasible region c. State the objective function
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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Question
![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 investments in oil leases and bonds
to 30% and his investments 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
b. Clearly state the constraints (all inequalities)
related to the feasible region
c. State the objective function
d. Set up the initial simplex matrix needed to
solve the linear programming problem using the
Simplex Method
e. Perform all pivots necessary using row
operations to transform the matrix until the
solution is feasible
f. How much should he invest in each to
maximize his return, assuming investment
returns are as expected?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F01205ce5-55f4-452e-ac80-4038031b218c%2F0fb115d4-7c83-47e7-90a9-c4fbe73118a5%2F0bjnzuc_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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 investments in oil leases and bonds
to 30% and his investments 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
b. Clearly state the constraints (all inequalities)
related to the feasible region
c. State the objective function
d. Set up the initial simplex matrix needed to
solve the linear programming problem using the
Simplex Method
e. Perform all pivots necessary using row
operations to transform the matrix until the
solution is feasible
f. How much should he invest in each to
maximize his return, assuming investment
returns are as expected?
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