Chapter 7.3, Problem 34E

Cost Men and women in a church choir wear choir robes in the sizes shown in matrix A. Matrix B contains the prices (in dollars) of new robes and hoods according to size.

$A=\begin{array}{ll}\begin{array}{ll}\text{Men}\hfill & \text{Women}\hfill \end{array}\hfill & \hfill \\ \left[\begin{array}{rr}\hfill 10& \hfill 24\\ \hfill 22& \hfill 10\\ \hfill 33& \hfill 3\end{array}\right]\hfill & \begin{array}{l}\text{Small}\hfill \\ \text{Medium}\hfill \\ \text{Large}\hfill \end{array}\hfill \end{array}$

$B=\begin{array}{ll}\begin{array}{lll}\text{S}\hfill & \text{M}\hfill & \text{L}\hfill \end{array}\hfill & \hfill \\ \left[\begin{array}{lll}45\hfill & 50\hfill & 55\hfill \\ 20\hfill & 20\hfill & 20\hfill \end{array}\right]\hfill & \begin{array}{l}\text{Robes}\hfill \\ \text{Hoods}\hfill \end{array}\hfill \end{array}$

1. a. Find the product BA and label the rows and columns to show what each row represents.
2. b. What is the cost of the robes for all the men? For all the women?