Example 4.  Consider the open five sector economy   consisting of say: Agriculture, Construction, Energy, Manufacturing, and Services where the input-output matrix is given by

  and the demand vector is  .  Find the production vector  .   

Solution 4.

We are done!

Aside.  We can verify the solution by direct substitution.

Aside.  Any demand vector can be used, it is your choice.  For example:

(c) John H. Mathews 2004