Industry Type

1 Agriculture and Food

2 energetic

3 Construction

4 Chemistry

5 Textile

6 paper

7 steel

8 Engineering

9 Precious metals

10 Services

Calculate the output levels of the ten industries.
 

This model considers an open sector, where labor, profits, etc. are considered in the following way. Let x1 be the total output of the industry to satisfy the Demand from the open sector and all industries (in dollars). So x = ax + x + ... + ax +d where di denotes the demand of the sector opened by industry i. Here axis represents the input requirements of industry j by industry i. This can be written in matrix form as X = AX+d Consider the following input coefficient matrix A and the demand vector of the open sector d, for 10 interdependent industries in the United States