An investor has $24,000 to invest in bonds of AAA and B qualities.  The AAA bonds yield an average of 6% and the B bonds yield 10%.  The investor requires that at least three times as much money should be invested in AAA bonds as in B bonds. How much should be invested in each type of bond to maximize the return? What is the maximum return?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter17: Capital And Time
Section: Chapter Questions
Problem 17.6P
icon
Related questions
Question

An investor has $24,000 to invest in bonds of AAA and B qualities.  The AAA bonds yield an average of 6% and the B bonds yield 10%.  The investor requires that at least three times as much money should be invested in AAA bonds as in B bonds.

How much should be invested in each type of bond to maximize the return? What is the maximum return?

  1. Define the variables needed to solve this problem.
  2. Organize your given information. (This part NOT graded, but encouraged.)
  3. Write the complete linear programming problem, which includes the objective function and all constraints.
  4. Graph and make sure all lines are labeled and shaded/solution region is clear and easy to identify.
  5. Create a corner point chart.  Remember to mark your solution.
  6. Answer in a complete sentence or two: 
    • How much should be invested in each type of bond to maximize the return?
    • What is the maximum return?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Investments
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Microeconomic Theory
Microeconomic Theory
Economics
ISBN:
9781337517942
Author:
NICHOLSON
Publisher:
Cengage