Chapter 6.5, Problem 53E

(a)

To determine

To calculate: If the matrix product PS is possible where P represents the price in dollar per 100 pieces.

$P=\left[\begin{array}{c}250\\ 300\\ 350\end{array}\right]$

S represents the number each type of products sold in different locations.

$S=\left[\begin{array}{rrr}\hfill 8& \hfill 7& \hfill 2\\ \hfill 4& \hfill 5& \hfill 2\\ \hfill 6& \hfill 9& \hfill 4\end{array}\right]$

(b)

To determine

To calculate: If the matrix product SP is possible when P represents the price in dollar per 100 pieces.

$P=\left[\begin{array}{c}250\\ 300\\ 350\end{array}\right]$

S represents the number each type of products sold in different locations.

$S=\left[\begin{array}{rrr}\hfill 8& \hfill 7& \hfill 2\\ \hfill 4& \hfill 5& \hfill 2\\ \hfill 6& \hfill 9& \hfill 4\end{array}\right]$

(c)

To determine

To calculate: Net revenue from all the locations.