<s>[INST] Please help me solve this optimization problem involving vectors:

Maximize: F(x) = 2 * x1 - x2 + 3 * x3 (This is the objective function)
Subject to:
x1 + x2 - 3 * x3 ≥ 4 (Constraint 1)
x1 ≥ 2 (Constraint 2)
All x's are ≥ 0 (Non-Negativity Constraint)
x2 ≤ 5 (Constraint 3)

How can I solve this optimization problem?[/INST]