Chapter 4.7, Problem 32E

The technology matrix for an economy based on automobiles $\left(A\right)$ and construction $\left(C\right)$ is

$\begin{array}{l}\begin{array}{ccc}& A& C\end{array}\\ M=\begin{array}{c}A\\ C\end{array}\left[\begin{array}{cc}0.1& 0.4\\ 0.1& 0.1\end{array}\right]\end{array}$

The management of these two sectors would like to set the total output level so that the final demand is always $70\%$ of the total output. Discuss methods that could be used to accomplish this objective.