1. In order to produce $1of its own output, the j th industry must spend $(1/n) for the output of the i th industry(for all i + j ), but the j th industry (for all j= 1,2,3,...,n) spends nothing for...

Extracted text: TOPIC 3. Consider an open production model having n industries with n > 1. In order to produce $1 of its own output, the j th industry must spend $(1/n) for the output of the i th industry (for all i + j ), but the j th industry (for all j= 1,2,3,...,n) spends nothing for its own output. Write a program with n is input by a user to do the following Construct the input-output matrix Cn- The matrix input-output C is called productive if (I - C)-1 exists and (I - C)-l> 0. Show that C, is productive. • Find the vector output-values of this system.