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
$32,000
2465
Use the inverse of the coefficient matrix of this system to find the amount invested in each type of bond.
?
A. $11,000 in AAA-rated bonds$7,000 in A-rated bonds$14,000 in B-rated bonds
B. $11,000 in AAA-rated bonds$14,000 in A-rated bonds$7,000 in B-rated bonds
C. $14,000 in AAA-rated bonds $11,000 in A-rated bonds$7,000 in B-rated bonds
D. $14,000 in AAA-rated bonds $7,000 in A-rated bonds$11,000 in B-rated bonds
E. $7,000 in AAA-rated bonds$11,000 in A-rated bonds$14,000 in B-rated bonds
Answer: A
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