Answer
$\displaystyle \left[\begin{array}{ll}
105000 & 58000\\
\end{array}\right]$
105000 oz of 2000 small, 3000 medium, 2500 large, and 1000 giant cans of sauce
58000 oz of 2500 small, 1500 medium, 1000 large, and 500 giant cans of sauce
Work Step by Step
$A=\displaystyle \left[\begin{array}{ll}
6 & 10 & 14 & 28\\
\end{array}\right]$
$B = \displaystyle \left[\begin{array}{ll}
2000 & 2500\\
3000 & 1500\\
2500 & 1000\\
1000 & 500
\end{array}\right]$
Find the product matrix AB
$=\displaystyle \left[\begin{array}{ll}
6 * 2000 + 10 * 3000 + 14 * 2500 + 28 * 1000 \\
6 * 2500 + 10 * 1500 + 14 * 1000 + 28 * 500
\end{array}\right]$
(Note: the above matrix isn't formatted exactly as it is since it would be difficult to read)
$=\displaystyle \left[\begin{array}{ll}
105000 & 58000\\
\end{array}\right]$
105000 oz of 2000 small, 3000 medium, 2500 large, and 1000 giant cans of sauce
58000 oz of 2500 small, 1500 medium, 1000 large, and 500 giant cans of sauce