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Consider a Person Who Invests in AAA-Rated Bonds,A-Rated Bonds,and B-Rated  Total Investment  Annual Return $12,000890\begin{array} { | c | c | } \hline \text { Total Investment } & \text { Annual Return } \\\hline \$ 12,000 & 890 \\\hline\end{array}

question 37

Multiple Choice

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 $12,000890\begin{array} { | c | c | } \hline \text { Total Investment } & \text { Annual Return } \\\hline \$ 12,000 & 890 \\\hline\end{array} {x+y+z=663,000 (total investment)  0.065x+0.07y+0.09z=47,000 (annual retum)  2yz=0\left\{ \begin{array} { c l } x + y + z & = 663,000 \text { (total investment) } \\0.065 x + 0.07 y + 0.09 z & = 47,000 \text { (annual retum) } \\2 y - z & = 0\end{array} \right. Use the inverse of the coefficient matrix of this system to find the amount invested in each type of bond.

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Definitions:

Consumer Derives

The satisfaction or utility that a consumer obtains from the consumption of goods and services.

Total Utility

The complete fulfillment obtained from the consumption of a specific overall amount of a product or service.

Satisfaction

The feeling of fulfillment or contentment one derives from meeting a need or desire.

Marginal Utility

The added utility or pleasure derived by a consumer from consuming another unit of a good or service.

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