18. An investor is considering three types of investment: oil leases with a potential return of 15%, bonds with a 9% return, and stocks which earn 5%. He has $50,000 to invest. He will limit his investment in oil leases and bonds to no more than 30% and his investment in oil leases and stock to no more than 50%. How much should he invest in each to maximize his return, assuming investment returns are as expected? Define variables, write the constraint equations, and find the objective function. Do not solve. Constraints Objective function 6

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 23EQ: 23. Consider a simple economy with just two industries: farming and manufacturing. Farming consumes...
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18. An investor is considering three types of investment: oil leases with a potential return of 15%,
bonds with a 9% return, and stocks which earn 5%. He has $50,000 to invest. He will limit his
investment in oil leases and bonds to no more than 30% and his investment in oil leases and stock to no
more than 50%. How much should he invest in each to maximize his return, assuming investment
returns are as expected? Define variables, write the constraint equations, and find the objective
function. Do not solve.
Constraints
Objective function
6
Transcribed Image Text:18. An investor is considering three types of investment: oil leases with a potential return of 15%, bonds with a 9% return, and stocks which earn 5%. He has $50,000 to invest. He will limit his investment in oil leases and bonds to no more than 30% and his investment in oil leases and stock to no more than 50%. How much should he invest in each to maximize his return, assuming investment returns are as expected? Define variables, write the constraint equations, and find the objective function. Do not solve. Constraints Objective function 6
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