Table 1: Input-output matrix Jadual 1: Matrik input-output Industry 1 Industri 1 Input to Input kepada Industry 2 Industri 2 Level of output Permintaan akhir Output from Output dari Industry 1 300 800 2400 Industri 1 Industry 2 600 200 4000 Industri 2
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To determine the vector total output, we need to sum up the output from each industry. From Table 1, we can see that the output from Industry 1 is 2400 units and the output from Industry 2 is 4000 units. Show more…
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4. Consider the following input-output table for a certain economy consisting of three sectors (all units measured in dollars): | | Farm Machinery | Farm Animals | Labor Hours | | :--- | :--- | :--- | :--- | | Farm Machinery | 200,000 | 9,000 | 14,000 | | Farm Animals | 6,000 | 13,500 | 7,200 | | Labor Hours | 1,200 | 31,000 | 50,000 | | Total Output | 450,000 | 175,000 | 130,000 | (a) Find the technology matrix associated with this economy. Round each entry to 3 decimal places. (b) The matrix (I - A)⁻¹ is given by (I - A)⁻¹ = [3.2 2.4 1.2; 0 1.1 2.2; 0.1 0.7 1.5] What production levels are necessary in order to meet a 1,000 unit demand in both farm machinery and farm animals? You may assume that there is no external demand for labor hours at this time.
Dominador T.
4. (B) The input-output table for a two-sector economy is given as follows: (a). What is the basic assumption underlying the input-output model? (b). Use the basic assumption of the input-output model to complete the above table (fill-in entries denoted by "?"). (c). Write the matrix of technical coefficients. (d). Calculate the total output required from each sector when final demand increases by 20%.
Sri K.
in a two-industry economy, it is known that industry / uses 10 cents of its own product and 60 cents of commodity 11 to produce a dollar's worth of commodity I; industry II uses none of its own product but uses 50 cents of commodity I in producing a dollar's worth of commodity $\| ;$ and the open sector demands $\$ 1,000$ billion of commodity and $\$ 2,000$ billion of commodity 11 (a) Write out the input matrix, the Leontief matrix, and the specific input-output matrix equation for this economy. (b) Check whether the data in this problem satisfy the Hawkins-Simon condition. (c) Find the solution output levels by Cramer's rule.
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