Question

The sales figure of two car dealers during January 2013 showed that dealer A sold 5 deluxe, 3 premium and 4 standard cars, while dealer B sold 7 deluxe, 2 premium and 3 standard cars. Total sales over the 2 month period of January-February revealed that dealer A sold 8 deluxe 7 premium and 6 standard cars. In the same 2 month period, dealer B sold 10 deluxe, 5 premium and 7 standard cars. Write 2 × 3 matrices summarizing sales data for January and 2-month period for each dealer.

Answer 1

According to the data, dealer A sold 5 deluxe cars, 3 premium cars and 4 standard cars in January. Also, dealer B sold 7 deluxe cars, 2 premium cars and 3 standard cars in January.

The above information can be given by

$$\begin{gathered} \begin{array}{ccc}\mathrm{Deluxe}& \mathrm{Premium}& \mathrm{Standard}\end{array} \\ \begin{array}{c}\mathrm{Dealer}A\\ \mathrm{Dealer}B\end{array}\left[\begin{array}{ccc}5& 3& 4\\ 7& 2& 3\end{array}\right] \end{gathered}$$

Total sales over the period of January-February reveals that dealer A sold 8 deluxe cars, 7 premium cars and 6 standard cars, while dealer B sold 10 deluxe cars, 5 premium cars and 7 standard cars.

This information can be given by
​
$$\begin{gathered} \begin{array}{ccc}\mathrm{Deluxe}& \mathrm{Premium}& \mathrm{Standard}\end{array} \\ \begin{array}{c}\mathrm{Dealer}A\\ \mathrm{Dealer}B\end{array}\left[\begin{array}{ccc}8& 7& 6\\ 10& 5& 7\end{array}\right] \end{gathered}$$