Chapter 2.6, Problem 12E

Three-Sector Economy In Exercises 1–12, suppose that a simplified economy consisting of the three sectors Manufacturing, Energy, and Services has the input–output matrix

$\begin{array}{l}\begin{array}{ccc}M& E& S\end{array}\\ \begin{array}{c}M\\ E\\ S\end{array}\left[\begin{array}{ccc}.3& .1& .2\\ .2& .25& .15\\ .1& .2& .15\end{array}\right]=A.\end{array}$

Repeat Exercise 11 for the consumer demand matrix

$D=\left[\begin{array}{c}10\\ 5\\ 20\end{array}\right]$