1. Using the Input-Output table below, answer the following questions: a) Find the matrix A of technical coefficients and the row vector 1 of labor coefficients for the system. b) Assume that an exogenous shock decreases final demand for services goods by 125. Find the new vector of total output X and the new vector of labor inputs L. Manufacturing Services Labor Total Manufacturing Services Final Demand 10 30 60 100 40 25 75 140 50 85 Total Output 100 140 240
1. Using the Input-Output table below, answer the following questions: a) Find the matrix A of technical coefficients and the row vector 1 of labor coefficients for the system. b) Assume that an exogenous shock decreases final demand for services goods by 125. Find the new vector of total output X and the new vector of labor inputs L. Manufacturing Services Labor Total Manufacturing Services Final Demand 10 30 60 100 40 25 75 140 50 85 Total Output 100 140 240
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:1. Using the Input-Output table below, answer the following questions:
a) Find the matrix A of technical coefficients and the row vector 1 of labor coefficients for the
system.
b) Assume that an exogenous shock decreases final demand for services goods by 125. Find the
new vector of total output X and the new vector of labor inputs L.
Manufacturing Services Final Demand
Manufacturing
Services
Labor
Total
10
30
60
100
40
25
75
140
50
85
Total
Output
100
140
240
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Can you please further explain as why the final
Solution
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* Update final demand vector to reflect the decrease in services goods demand by 125 mat final_demand_Y_updated = (50 \ (85 - 125)) mat list final_demand_Y_updated * Calculate the new total output vector X_new mat X_new = identity_Ainv * final_demand_Y_updated mat list X_new * Calculate the new vector of labor inputs L_new mat L_new = labor_coeff_vector_l * X_new mat list L_new
but we may do it this way?
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