Chapter 3, Problem 49RE

The Burr Cabinet Company manufactures bookcases and filing cabinets at two plants,

$A$

and $B$

. Matrix $M$

gives the production for the two plants during June, and matrix $N$

gives the production for July. Use them in Problems 47-49.

$\begin{array}{l}\begin{array}{cccc}& & \text{A}& \text{B}\end{array}\\ M\text{=}\left[\begin{array}{cc}\text{150}& \text{80}\\ \text{280}& \text{300}\end{array}\right]\begin{array}{l}\text{Bookcases}\hfill \\ \text{Files}\hfill \end{array}\end{array}$

$\begin{array}{l}\begin{array}{cccc}& & \text{A}& \text{B}\end{array}\\ N\text{=}\left[\begin{array}{cc}\text{100}& \text{60}\\ \text{200}& \text{400}\end{array}\right]\begin{array}{l}\text{Bookcases}\hfill \\ \text{Files}\hfill \end{array}\end{array}$

Production If the company sells its bookcases to wholesalers for $\$100$ and its filing cabinets for $\$120$, for which month was the value of production higher: (a) at plant $A$

? (b) at plant $B$

?