Chapter 4.2, Problem 73E

Tourism in the 1990s The following table gives the number of people (in thousands) who visited Australia and South Africa in 1998:¹⁴

To	Australia	South Africa
From North America	440	190
Europe	950	950
Asia	1,790	200

You estimate that 5% of all visitors to Australia and 4% of all visitors to South Africa decide to settle there permanently. Take A to be the $3\times 2$ matrix whose entries are the 1998 tourism figures in the above table, and take

$B=\left[\begin{array}{c}0.05\\ 0.04\end{array}\right]\text{ and }C=\left[\begin{array}{cc}0.05& 0\\ 0& 0.04\end{array}\right]$.

Compute the products AB and AC. What do the entries in these matrices represent?