An investor has $621,000 to invest in bonds. Bond A yields an average of 8% and the bond B yields 7%. The investor requires that at least 5 times as much money be invested in bond A as in bond B. You must invest in these bonds to maximize his return. This can be set up as a linear programming problem. Introduce the decision variables: x= dollars invested in bond A y= dollars invested in bond B Compute x+y.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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An investor has $621,000 to invest in bonds.  Bond A yields an average of 8% and the bond B yields 7%.  The investor requires that at least 5 times as much money be invested in bond A as in bond B.  You must invest in these bonds to maximize his return.  This can be set up as a linear programming problem.  Introduce the decision variables:

x= dollars invested in bond A
y= dollars invested in bond B

Compute x+y.

$                       .  Round to the nearest cent.

 

Investor Matt has $152,000 to invest in bonds.  Bond A yields an average of 9.2% and the bond B yields 8.4%.  Matt requires that at least 4 times as much money be invested in bond A as in bond B.  You must invest in these bonds to maximize his return.  What is the maximum return?

$                       per year.  Round to the nearest cent.

 

Investor Dan has $607,000 to invest in bonds.  Bond A yields an average of 8.5% and the bond B yields 8.4%.  Dan requires that at least 4 times as much money be invested in bond A as in bond B.  You must invest in these bonds to maximize his return.  How much should you invest in bond A?

$                       .  Round to the nearest cent.

 

Investor Matt has $782,000 to invest in a CD and a mutual fund.  The CD yields 4% and the mutual fund yields an average of 5.1%.  The mutual fund requires a minimum investment of $16,000, and Matt requires that at least 3 times as much money be invested in the CD as in the mutual fund.  You must invest in order to maximize his return.  What is the maximum return?  Enter 0 if no investment can be made satisfying the requirements.

$                       .  Round to the nearest cent.

 

Investor Dan has $740,000 to invest in a CD and a mutual fund.  The CD yields 3.6% and the mutual fund yields an average of 8.4%.  The mutual fund requires a minimum investment of $19,000, and Dan requires that at least 4 times as much money be invested in the CD as in the mutual fund.  You must invest in order to maximize his return.  How much should you invest in the CD?  Enter 0 if no investment can be made satisfying the requirements.

$                       .  Round to the nearest cent.

 
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