Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 4 - Section 4.1 - Matrix Addition and Scalar Multiplication - Exercises - Page 240: 39

Answer

$\left[\begin{array}{lll} 700 & 1300 & 2000\\ 400 & 300 & 500 \end{array}\right]$ represents sales in January, first row:SF, second row: LA Inventory remaining = $\left[\begin{array}{lll} 300 & 700 & 3000\\ 600 & 4700 & 1500 \end{array}\right]$

Work Step by Step

Let $A=\left[\begin{array}{lll} 1000 & 2000 & 5000\\ 1000 & 5000 & 2000 \end{array}\right]$ represent current inventory, $B=\left[\begin{array}{lll} 700 & 1300 & 2000\\ 400 & 300 & 500 \end{array}\right]$ represent sales in January, first row:SF, second row: LA Inventory remaining = $A-B$ $=\left[\begin{array}{lll} 1000 & 2000 & 5000\\ 1000 & 5000 & 2000 \end{array}\right]-\left[\begin{array}{lll} 700 & 1300 & 2000\\ 400 & 300 & 500 \end{array}\right]$ $=\left[\begin{array}{lll} 1000-700 & 2000-1300 & 5000-2000\\ 1000-400 & 5000-300 & 2000-500 \end{array}\right]$ $=\left[\begin{array}{lll} 300 & 700 & 3000\\ 600 & 4700 & 1500 \end{array}\right]$
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