Financial Planning A retired couple has up to to invest. As their financial adviser, you recommend that they place at least in Treasury bills yielding and at most in corporate bonds yielding .
a. Using to denote the amount of money invested in Treasury bills and y to denote the amount invested in corporate bonds, write a system of linear inequalities that describes the possible amounts of each investment.
b. Graph the system and label the corner points.
To find:
1. To write a system of linear inequalities that describes the possible amounts of each investment.
2. To graph the system and label the corner points.
Answer to Problem 57AYU
Solution:
Explanation of Solution
Given:
• Total investment upto
• Minimum investment in Treasury Bills
• Maximum investment in corporate bond
• Interest from Treasury
• Interest from junk
Calculation:
1. Begin by assigning symbols for the two variables.
Because and represents the amount invested, the only meaningful values of and are non–negative.
Therefore,
From the given data we get
Therefore, a system of linear inequalities that describes the possible amounts of each investment are
2. The graph of the system and corner points are illustrated in the figure below.
Chapter 11 Solutions
Precalculus Enhanced with Graphing Utilities
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