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Question 4 with LinearAlgebra) Consider an economy consisting of 3 sectors: M (manufacturing), E (energy) and T (transposrtation). The following is known about the required inputs in each of these sectors from the outputs of different sectors for production of yearly outputs xI, x2 and x3 in the sectors M, E and T, respectively )M requires a fraction o 0.5 fraction of the output of E, and 0.2 fraction of T (ii) E requires b fraction of itself, 0.3 fraction of M, and 0.4 fraction of T (iii) T requires c fraction of itself, 0.35 fraction of M, and 0.25 unts of E (a) Write the input-output matrix for this economy, and detrmine the values of parameters a, b and c so that the economy would correspond to closed model. (b) Solved this closed Leontieff model, and find the production vector X- (l, x2, x3) so that the production in the Manufacturing sector would correspond to 120 units

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Answer #1

a 0.5 0.35 0.25 CJa3 Manladir o. 2 21 2 0.S o. 3 au o냐 0.3 ㄨㄧㄧ

Puttin 0:35 = 42-01752に007x3t0.08 75% t0.1ужд 22つ61.9862 Vecter Ly: 130.31 3 t,2,0 120, 62, 130.313

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