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To solve the given Linear Programming Problem (LPP) using the Branch and Bound method, we'll follow these steps: ### Problem Statement: Minimize: \[ Z = 4x_1 + 3x_2 \] Subject to the constraints: \[ 2x_1 + x_2 \leq 6 \] \[ x_1 + 2x_2 \leq 8 \] \[ x_1, x_2 \geq 0 \] \[ x_1, x_2 \text{ are integers} \] --- ### Step 1: Solve the Relaxed Problem (Non-Integer Solution) First, we solve the problem without the integer constraints to find the optimal solution. 1. Graph the constraints: - \( 2x_1 + x_2 \leq 6 _________ _______ _________ ____ ______ ______ ____ _______ ____.
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