Find the production schedule for the technology matrix and demand vector given below:
Find the production schedule for the technology matrix and demand vector given below:
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
![**Problem Statement:**
Find the production schedule for the technology matrix and demand vector given below:
**Technology Matrix (A):**
\[
A =
\begin{bmatrix}
0.1 & 0.2 & 0.3 \\
1.4 & 0.4 & 1.5 \\
0.4 & 0 & 0.2 \\
\end{bmatrix}
\]
**Demand Vector (D):**
\[
D =
\begin{bmatrix}
3 \\
5 \\
7 \\
\end{bmatrix}
\]
**Production Schedule (X):**
\[
X =
\begin{bmatrix}
\boxed{\phantom{0}} \\
\boxed{\phantom{0}} \\
\boxed{\phantom{0}} \\
\end{bmatrix}
\]
**Objective:**
Determine the production schedule vector \( X \) that satisfies the given technology matrix \( A \) and demand vector \( D \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F36a79c17-bf73-44c3-9503-d2f30f855206%2F935a0454-4b3b-44ca-9cf9-3101578abe74%2Fa6pn5k_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Find the production schedule for the technology matrix and demand vector given below:
**Technology Matrix (A):**
\[
A =
\begin{bmatrix}
0.1 & 0.2 & 0.3 \\
1.4 & 0.4 & 1.5 \\
0.4 & 0 & 0.2 \\
\end{bmatrix}
\]
**Demand Vector (D):**
\[
D =
\begin{bmatrix}
3 \\
5 \\
7 \\
\end{bmatrix}
\]
**Production Schedule (X):**
\[
X =
\begin{bmatrix}
\boxed{\phantom{0}} \\
\boxed{\phantom{0}} \\
\boxed{\phantom{0}} \\
\end{bmatrix}
\]
**Objective:**
Determine the production schedule vector \( X \) that satisfies the given technology matrix \( A \) and demand vector \( D \).
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