The input-output (consumption) matrix for a closed economy of three sectors, Coal, Electric and Steel is given below. The total output of the Coal sector is 30% to Electric and 20% to Steel and the remaining to itself. The associated input-output model is given below. Write the augmented matrix that corresponds to the system linear equation and solve. Use pg, 125 or p; if that is a free variable. Distribution of output from: Coal Electric Steel Purchased by: 0.5 0.4 0.1 Coal 0.3 0.3 0.3 Electric 0.2 0.3 0.6 Steel Augmented matrix associated with the systems of equations is: .'3 .'3 N m EBB DUB BBB Use the name of the free variable in your answer. Pa 1-\": BUB P5