4. Consider the following input coefficients matrix:

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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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4. Consider the following input coefficients matrix:
(0.25 0.5 0.2
0.1 0
0.1 0.3
A = 0
0
(i)
(ii)
Find (1-A)-¹.
Hence find the vector inputs required to produce the final
demand vector: 6
3
Find the primary inputs coefficient vector (slide 14, lecture
13).
(iii)
(iv) Suppose labour is the sole primary input vector and there
are 8 available units (in value) of labour. Is that sufficient to
produce the final demand vector in (ii)?
Transcribed Image Text:4. Consider the following input coefficients matrix: (0.25 0.5 0.2 0.1 0 0.1 0.3 A = 0 0 (i) (ii) Find (1-A)-¹. Hence find the vector inputs required to produce the final demand vector: 6 3 Find the primary inputs coefficient vector (slide 14, lecture 13). (iii) (iv) Suppose labour is the sole primary input vector and there are 8 available units (in value) of labour. Is that sufficient to produce the final demand vector in (ii)?
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