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To obtain the dual of the given primal Linear Programming (LP) problem, we follow these steps: ### Step 1: Identify Primal Problem #### Primal LP: \[ \text{Maximize } z = x_1 - 2x_2 + 3x_3 \] Subject to: \[ -2x_1 + x_2 + 3x_3 = 2 \] \[ 2x_1 + 3x_2 + 4x_3 = 1 \] \[ x_1, x_2, x_3 \geq 0 \] ### Step 2: Formulate the Dual Problem - The primal has two equality constraints, so the dual will ________ ____ _______ ____ ___.
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