9. Suppose that three industries are interrelated so that their outputs are used as inputs by themselves, according to the 3 x 3 consumption matrix A below, where ajk is the fraction of the output of...

Extracted text: 9. Suppose that three industries are interrelated so that their outputs are used as inputs by themselves, according to the 3 x 3 consumption matrix A below, where ajk is the fraction of the output of industry k consumed (purchased) by industry j. Let p; be the price charged by industry j for its total output. Your mission is to find nonnegative prices p = [p1, p2 , p3] so that for each industry, total expenditures equal total income. Show the details of your work. 0.1 0.4 P1 A = [a] = 0.8 0 0.7 P= P2 0.1 0.6 0.3 P3