Chapter 6.5, Problem 54E

(a)

To determine

To calculate: If the matrix product MN is possible when Matrix M representing minimum cost of establishing different franchise.

$M=\left[\begin{array}{c}150\\ 313\\ 400\end{array}\right]$

N represents the no of franchise planned to be established in Indiana and Pennsylvania.

$N=\left[\begin{array}{rrr}\hfill 3& \hfill 0& \hfill 5\\ \hfill 2& \hfill 7& \hfill 1\end{array}\right]$

(b)

To determine

To calculate: If the matrix product NM is possible when Matrix M representing minimum cost of establishing different franchise.

$M=\left[\begin{array}{c}150\\ 313\\ 400\end{array}\right]$

N represents the no of franchise planned to be established in Indiana and Pennsylvania.

$N=\left[\begin{array}{rrr}\hfill 3& \hfill 0& \hfill 5\\ \hfill 2& \hfill 7& \hfill 1\end{array}\right]$

(c)

To determine

To calculate: Total dollar amount that my group need to invest for all locations.