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

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**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:
\[
\begin{align*}
x_1 - x_2 - 3x_3 & \leq -1 \\
x_2 + 3x_3 & \leq 5 \\
x_3 & \leq 1 \\
x_1, x_2, x_3, x_4 & \geq 0
\end{align*}
\]
Transcribed Image Text:**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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