Section 2.6 1. Consider the production model x = Cx+d for an economy with two sectors, where 0 0.5] 0.2] and C = d = (a) Determine the production level necessary to satisfy the final demand d. 1 (b) What is the production level to satisfy a final demand of ? 51 (c) What is the production level to satisfy a final demand of ? 30
Section 2.6 1. Consider the production model x = Cx+d for an economy with two sectors, where 0 0.5] 0.2] and C = d = (a) Determine the production level necessary to satisfy the final demand d. 1 (b) What is the production level to satisfy a final demand of ? 51 (c) What is the production level to satisfy a final demand of ? 30
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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Question
![**Section 2.6**
1. Consider the production model \( \mathbf{x} = C\mathbf{x} + \mathbf{d} \) for an economy with two sectors, where
\[
C = \begin{bmatrix} 0 & 0.5 \\ 0.6 & 0.2 \end{bmatrix}
\]
and
\[
\mathbf{d} = \begin{bmatrix} 50 \\ 30 \end{bmatrix}
\]
(a) Determine the production level necessary to satisfy the final demand \( \mathbf{d} \).
---
(b) What is the production level to satisfy a final demand of
\[
\begin{bmatrix} 1 \\ 0 \end{bmatrix}
\]?
(c) What is the production level to satisfy a final demand of
\[
\begin{bmatrix} 51 \\ 30 \end{bmatrix}
\]?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F327c4acc-aab0-4600-9811-c42079067cf3%2F3de8285f-ca4f-40d6-ae1d-fe76dfeac5db%2F9fy4d3l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Section 2.6**
1. Consider the production model \( \mathbf{x} = C\mathbf{x} + \mathbf{d} \) for an economy with two sectors, where
\[
C = \begin{bmatrix} 0 & 0.5 \\ 0.6 & 0.2 \end{bmatrix}
\]
and
\[
\mathbf{d} = \begin{bmatrix} 50 \\ 30 \end{bmatrix}
\]
(a) Determine the production level necessary to satisfy the final demand \( \mathbf{d} \).
---
(b) What is the production level to satisfy a final demand of
\[
\begin{bmatrix} 1 \\ 0 \end{bmatrix}
\]?
(c) What is the production level to satisfy a final demand of
\[
\begin{bmatrix} 51 \\ 30 \end{bmatrix}
\]?
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