**Problem Statement:**Write down the dual program of the following linear program. There is no need to provide intermediate steps.**Primal Linear Program:**Objective Function:\[ \text{maximize } (x_1 - 3x_2 + 4x_3 - x_4) \]Subject to the constraints:\[\begin{align*}x_1 - x_2 - 3x_3 & \leq -1 \\x_2 + 3x_3 & \leq 5 \\x_3 & \leq 1 \\x_1, x_2, x_3, x_4 & \geq 0\end{align*}\]

Linar program is given which includes the maximum value of the equation The given linear program is…

Write down the dual program of the following linear program. There is no need to provide intermediate steps. max(x₁ − 3x2 + 4x3 − x4) subject to x1 - x2-3x3 < x2 + 3x3 < 5 X3 ≤ 1 X1, X2, X3, X4 ≥ 0

Write down the dual program of the following linear program. There is no need to provide intermediate steps. max(x₁ − 3x2 + 4x3 − x4) subject to x1 - x2-3x3 < x2 + 3x3 < 5 X3 ≤ 1 X1, X2, X3, X4 ≥ 0

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter15: Recursion

Section: Chapter Questions

Problem 12PE

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Question

**Problem Statement:**

Write down the dual program of the following linear program. There is no need to provide intermediate steps.

**Primal Linear Program:**

Objective Function:
\[ \text{maximize } (x_1 - 3x_2 + 4x_3 - x_4) \]

Subject to the constraints:
\[
\begin{align*}
x_1 - x_2 - 3x_3 & \leq -1 \\
x_2 + 3x_3 & \leq 5 \\
x_3 & \leq 1 \\
x_1, x_2, x_3, x_4 & \geq 0
\end{align*}
\]

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