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
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**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 \( D \).
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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