minimize z = 3x1 + 9x2 -5x1 + 2x2 < 30 -3x1 + x2 < 12 subject to X1, X2 > 0.
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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![**2.2. Solve the following linear programs using the simplex method. If the problem is two-dimensional, graph the feasible region, and outline the progress of the algorithm.**
(iii)
Minimize \( z = 3x_1 + 9x_2 \)
subject to
\[
\begin{align*}
-5x_1 + 2x_2 & \leq 30, \\
-3x_1 + x_2 & \leq 12, \\
x_1, x_2 & \geq 0.
\end{align*}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbffa73e6-1761-4c9e-97cb-0c164f013989%2F48a229eb-c77b-4991-b0c8-4c99c717d760%2Fai06v4o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**2.2. Solve the following linear programs using the simplex method. If the problem is two-dimensional, graph the feasible region, and outline the progress of the algorithm.**
(iii)
Minimize \( z = 3x_1 + 9x_2 \)
subject to
\[
\begin{align*}
-5x_1 + 2x_2 & \leq 30, \\
-3x_1 + x_2 & \leq 12, \\
x_1, x_2 & \geq 0.
\end{align*}
\]
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