Question

1. a children’s toy store sells mama, papa, and baby bears, each in small, medium and large sizes. during one week, the store sold 10 small - sized, 8 medium - sized, and 20 large - sized mama bears. it also sold 6 small - sized, 10 medium - sized, and 8 large - sized papa bears and 14 small - sized, 20 medium - sized and 14 large - sized baby bears.

a. express this information in a sales matrix s.

Explanation:

Step1: Define Rows and Columns

Rows: Bear types (Mama, Papa, Baby). Columns: Sizes (Small, Medium, Large).

Step2: Populate Matrix

For Mama Bears: Small=10, Medium=8, Large=20.
For Papa Bears: Small=6, Medium=10, Large=8.
For Baby Bears: Small=14, Medium=20, Large=14.

So the matrix \( S \) is:
\[
S =

$$\begin{bmatrix} 10 & 8 & 20 \\ 6 & 10 & 8 \\ 14 & 20 & 14 \end{bmatrix}$$

\]

Answer:

The sales matrix \( S \) is \(\boldsymbol{

$$\begin{bmatrix}10 & 8 & 20 \\ 6 & 10 & 8 \\ 14 & 20 & 14\end{bmatrix}$$

}\) (where rows represent Mama, Papa, Baby Bears and columns represent Small, Medium, Large sizes respectively).