Answer
$\displaystyle \left[\begin{array}{ll}
32000 & 18000\\
42000 & 26800\\
44000 & 26800
\end{array}\right]$
Daily Profit in January from Biloxi plant is 42000 dollars
Total Daily Profit for February from all plants is 71600 dollars
Work Step by Step
$A=\displaystyle \left[\begin{array}{ll}
12 & 10 & 0\\
4 & 4 & 20\\
8 & 9 & 12
\end{array}\right]$
$B = \displaystyle \left[\begin{array}{ll}
1000 & 500\\
2000 & 1200\\
1500 & 1000
\end{array}\right]$
Find the product matrix AB
$=\displaystyle \left[\begin{array}{ll}
12(1000) + 10(2000) & 12(500) + 10(1200) + 0(1000)\\
4(1000) + 4(2000) + 20(1500) & 4(500) + 4(1200) + 20(1000)\\
8(1000) + 9(2000) + 12(1500) & 8(500) + 9(1200) + 12(1000)
\end{array}\right]$
$=\displaystyle \left[\begin{array}{ll}
32000 & 18000\\
42000 & 26800\\
44000 & 26800
\end{array}\right]$
Daily Profit in January from Biloxi plant is 42000 dollars
Total Daily Profit for February from all plants is 71600 dollars
