Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 10 - Section 10.4 - The Algebra of Matrices - 10.4 Exercises - Page 722: 55

Answer

$=\displaystyle \left[\begin{array}{ll} 353.75\\ 656.25\\ 892.50 \end{array}\right]$ On Monday, the total revenue is 353.75 For all days, the total revenue is 1902.50

Work Step by Step

$A=\displaystyle \left[\begin{array}{ll} 50 & 20 & 15\\ 40 & 75 & 20\\ 35 & 60 & 100 \end{array}\right]$ $B = \displaystyle \left[\begin{array}{ll} 3.50\\ 5.75\\ 4.25 \end{array}\right]$ Find the product matrix AB $=\displaystyle \left[\begin{array}{ll} 50 * 3.50 + 20 * 5.75 + 15 * 4.25\\ 40 * 3.50 + 75 * 5.75 + 20 * 4.25\\ 35 * 3.50 + 60 * 5.75 + 100 * 4.25 \end{array}\right]$ $=\displaystyle \left[\begin{array}{ll} 353.75\\ 656.25\\ 892.50 \end{array}\right]$ On Monday, the total revenue is 353.75 For all days, the total revenue is 1902.50
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