Chapter 2.3, Problem 66E

Retail Sales Two stores sell the exact same brand and style of a dresser, a nightstand, and a bookcase. Matrix A gives the retail prices (in dollars) for the items. Matrix B gives the number of each item sold at each store in one month.

$\begin{array}{l}\begin{array}{ccc}\text{Dresser}& \text{Nightstand}& \text{Bookcase}\end{array}\\ A=\left[2508060\right]\end{array}$

$\begin{array}{l}\begin{array}{cc}\text{Store}\text{1}& \text{Store}\text{2}\end{array}\\ B=\left[\begin{array}{cc}40& 35\\ 30& 35\\ 50& 75\end{array}\right]\begin{array}{c}\text{Dresser}\\ \text{Nightstand}\\ \text{Bookcase}\end{array}\end{array}$

(a) Calculate AB.

(b) Interpret the entries of AB.

(c) Calculate the matrix 1.1A.

(d) Interpret the entries of the matrix 1.1A.