Question

Chapter 2] A system composed of two industries, coal and steel, has the following inputs: (a) To produce 1 dollar's worth of output, the coal industry requires $0.30 of its own product and $0.60 of steel D, the input-output matrix 10,000 for this system Then soive for the output matrix Xinthe equationx.ox-Ewhere the external demand is 16,000

Answer 1

Solution.  ​​​​​ Let own product is p, other product like steel/coal is o;

(a) 0.30 p + 0.60 o = 1

(b) 0.30 p + 0.10 o = 1

D :

0.30 0.60p 0.30 0.10o

D : $\begin{bmatrix} p\\ o \end{bmatrix}=\begin{bmatrix} 3.33\\ 0 \end{bmatrix}$

X = DX + E

X - DX = E

Let X = $\begin{bmatrix} x\\ y \end{bmatrix}$ ,

O) O) O) 06 3 3