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In a three-industry economy, the input coefficient matrix and the final demand vector are provided below. Compute the equilibrium quantities of output in each industry. [0.4 0.2 0.3 40,0007 A = 0.2 0.2 0.3 C = 10,000 L0.3 0.5 0.3. [20,000] ANSWER: 0.6 -0.2 -0.3 I - A = -0.2 0.8 -0.3 -0.3 -0.5 0.7 . 4.18 2.96 3.067 (I - A)-1 = 2.35 3.37 2.45 (3.47 3.67 4.49] X1 4.18 2.96 3.061 [40,0007 258,1637 X 2 2.35 3.37 2.45 10,000 = 176,531 X3 L3.47 3.67 4.49] [20,000] 265,306]