2 Points Solve the following 2-dimensional linear programming problem graphically: maximize: 3x1 + 4x2 subject to: 0≤x₁ ≤ 6 0≤x2₂ ≤4 x1 + x₂ ≤ 6
2 Points Solve the following 2-dimensional linear programming problem graphically: maximize: 3x1 + 4x2 subject to: 0≤x₁ ≤ 6 0≤x2₂ ≤4 x1 + x₂ ≤ 6
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![### Q3
**2 Points**
Solve the following 2-dimensional linear programming problem graphically:
Maximize: \(3x_1 + 4x_2\)
Subject to:
\[
\begin{align*}
0 \leq x_1 \leq 6 \\
0 \leq x_2 \leq 4 \\
x_1 + x_2 \leq 6
\end{align*}
\]
### Q4
**2 Points**
Consider the system of equations:
\[
\begin{bmatrix}
2 & 1 & 1 & 0 \\
1 & 2 & -1 & 2
\end{bmatrix}
\begin{bmatrix}
x_1 \\
x_2 \\
x_3 \\
x_4
\end{bmatrix}
=
\begin{bmatrix}
4 \\
2
\end{bmatrix}
\]
Find all basic solutions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8fde1064-a6b6-4339-9493-cdb828b8cc21%2F878aa52d-5ddc-48f5-972a-15189d5a45be%2Fspgqtf6_processed.png&w=3840&q=75)
Transcribed Image Text:### Q3
**2 Points**
Solve the following 2-dimensional linear programming problem graphically:
Maximize: \(3x_1 + 4x_2\)
Subject to:
\[
\begin{align*}
0 \leq x_1 \leq 6 \\
0 \leq x_2 \leq 4 \\
x_1 + x_2 \leq 6
\end{align*}
\]
### Q4
**2 Points**
Consider the system of equations:
\[
\begin{bmatrix}
2 & 1 & 1 & 0 \\
1 & 2 & -1 & 2
\end{bmatrix}
\begin{bmatrix}
x_1 \\
x_2 \\
x_3 \\
x_4
\end{bmatrix}
=
\begin{bmatrix}
4 \\
2
\end{bmatrix}
\]
Find all basic solutions.
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