The economy whose consumption matix C is C = bmatrix0.5 & 0.4 & 0.2\\ 0.2 & 0.3 & 0.1\\ 0.1 & 0.1 & 0.3 bmatrix and the final demand is 50 units for manufacturing, 30 units for agriculture and 20…

The economy whose consumption matix C is

C = $\left[\begin{array}{ccc}0.5& 0.4& 0.2\\ 0.2& 0.3& 0.1\\ 0.1& 0.1& 0.3\end{array}\right]$

and the final demand is 50 units for manufacturing, 30 units for agriculture and 20 units for service. Find the production level x that will satisfy this demand.