Chapter 2.3, Problem 67E

Retail Sales A candy shop sells various items for the price per pound (in dollars) indicated in matrix A. Matrix B gives the number of pounds of coated peanuts, raisins, and espresso beans prepared in a week. Matrix C gives the total number of pounds of white chocolate-covered, milk chocolate-covered, and dark chocolate-covered items sold each week.

$\begin{array}{l}\begin{array}{ccc}\text{White}& \text{Milk}& \text{Dark}\end{array}\\ A=\left[\begin{array}{c}3\\ 2.5\\ 9\end{array}\begin{array}{c}3\\ 3.5\\ 8\end{array}\begin{array}{c}5.8\\ 6\\ 9.5\end{array}\right]\begin{array}{c}\text{Peanuts}\\ \text{Raisins}\\ \text{Espresso}\text{beans}\end{array}\end{array}$

$\begin{array}{l}\begin{array}{ccc}\text{Peanuts}& \text{Raisins}& \text{Espresso}\text{Beans}\end{array}\\ B=\left[210175135\right]\end{array}$

$C=\left[\begin{array}{c}105\\ 390\\ 285\end{array}\right]\begin{array}{c}\text{White}\\ \text{Milk}\\ \text{Dark}\end{array}$

Determine and interpret the following matrices.

(a) BA

(b) AC

(c).9C