Question 166
Multiple Choice The following table shows sales of recreational boats in the United States during the period 1999-2001. Motorboards Jet Skis 1999 310 , 000 110 , 000 Increase in 2000 9 , 000 0 Increase in 2001 − 40 , 000 − 40 , 000 \begin{array} { | l | l | l | } \hline & \text { Motorboards } & \text { Jet Skis } \\\hline 1999 & 310,000 & 110,000 \\\hline \text { Increase in } 2000 & 9,000 & 0 \\\hline \text { Increase in } 2001 & - 40,000 & - 40,000 \\\hline\end{array} 1999 Increase in 2000 Increase in 2001 Motorboards 310 , 000 9 , 000 − 40 , 000 Jet Skis 110 , 000 0 − 40 , 000 Write the matrix algebra formula that will find the sales in each category.
A) [ 310 , 000 110 , 000 ] + [ 9 , 000 − 40 , 000 ] + [ 0 − 40 , 000 ] \left[ \begin{array} { l } 310,000 \\110,000\end{array} \right] + \left[ \begin{array} { c } 9,000 \\- 40,000\end{array} \right] + \left[ \begin{array} { c } 0 \\- 40,000\end{array} \right] [ 310 , 000 110 , 000 ] + [ 9 , 000 − 40 , 000 ] + [ 0 − 40 , 000 ] B) [ 310 , 000 110 , 000 ] + [ 9 , 000 0 ] − [ − 40 , 000 − 40 , 000 ] \left[ \begin{array} { l l l } 310,000 & 110,000\end{array} \right] + \left[ \begin{array} { l l } 9,000 & 0\end{array} \right] - \left[ \begin{array} { l l l } - 40,000 & - 40,000\end{array} \right] [ 310 , 000 110 , 000 ] + [ 9 , 000 0 ] − [ − 40 , 000 − 40 , 000 ] C) [ 310 , 000 110 , 000 ] + [ 9 , 000 0 ] + [ − 40 , 000 − 40 , 000 ] \left[ \begin{array} { l l l } 310,000 & 110,000\end{array} \right] + \left[ \begin{array} { l l } 9,000 & 0\end{array} \right] + \left[ \begin{array} { l l l } - 40,000 & - 40,000\end{array} \right] [ 310 , 000 110 , 000 ] + [ 9 , 000 0 ] + [ − 40 , 000 − 40 , 000 ] D) [ 310 , 000 110 , 000 ] + [ 9 , 000 − 40 , 000 ] + [ 0 − 40 , 000 ] \left[ \begin{array} { l l l } 310,000 & 110,000\end{array} \right] + \left[ \begin{array} { l l } 9,000 & - 40,000\end{array} \right] + \left[ \begin{array} { l l } 0 & - 40,000\end{array} \right] [ 310 , 000 110 , 000 ] + [ 9 , 000 − 40 , 000 ] + [ 0 − 40 , 000 ] E) [ 310 , 000 110 , 000 ] + [ 9 , 000 0 ] + [ 40 , 000 40 , 000 ] \left[ \begin{array} { l } 310,000 \\110,000\end{array} \right] + \left[ \begin{array} { c } 9,000 \\0\end{array} \right] + \left[ \begin{array} { l } 40,000 \\40,000\end{array} \right] [ 310 , 000 110 , 000 ] + [ 9 , 000 0 ] + [ 40 , 000 40 , 000 ]
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