Consider a person who invests in AAA-rated bonds, A-rated bonds, and B-rated bonds. The average yields are 6.5% on AAA bonds, 7% on A bonds, and 9% on B bonds. The person invests twice as much in B bonds as in A bonds. Let x, y and z represent the amounts invested in AAA, A, and B bonds, respectively.
Total Investment
Annual Return
$663,000
47,000
?
Use the inverse of the coefficient matrix of this system to find the amount invested in each type of bond.
?
A. $142,000 in AAA-rated bonds $451,000 in A-rated bonds$71,000 in B-rated bonds
B. $450,000 in AAA-rated bonds$71,000 in A-rated bonds$142,000 in B-rated bonds
C. $143,000 in AAA-rated bonds $71,000 in A-rated bonds$450,000 in B-rated bonds
D. $72,000 in AAA-rated bonds$450,000 in A-rated bonds$142,000 in B-rated bonds
E. $450,000 in AAA-rated bonds$142,000 in A-rated bonds $70,000 in B-rated bonds
Answer: B
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