Assume that an economy is based on two industrial sectors, agriculture (A) and energy (E). The technology matrix M and final demand matrices (in billions of dollars) are shown below. A 0.4 0.4 4. D= 3 A M = 0.4 0.4 Find (I – M)-1 and the output for each sector, X, that is needed to satisfy the final demand, D. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. (1-M)-1 = (Simplify your answer.) O B. The matrix (I- M) is singular.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter7: Production Economics
Section: Chapter Questions
Problem 9E
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Assume that an economy is based on two industrial sectors, agriculture (A) and energy (E). The technology matrix M and final demand matrices (in billions of dollars) are shown below.
A
E
-]
0.4 0.4
4
D =
A
M =
E
0.4 0.4
Find (I - M)- and the output for each sector, X, that is needed to satisfy the final demand, D.
.....
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. (I-M)-1=
(Simplify your answer.)
%3D
B. The matrix (I – M) is singular.
Transcribed Image Text:Assume that an economy is based on two industrial sectors, agriculture (A) and energy (E). The technology matrix M and final demand matrices (in billions of dollars) are shown below. A E -] 0.4 0.4 4 D = A M = E 0.4 0.4 Find (I - M)- and the output for each sector, X, that is needed to satisfy the final demand, D. ..... Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. (I-M)-1= (Simplify your answer.) %3D B. The matrix (I – M) is singular.
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