Linear programming can be solved using several methods, with the most common being the Simplex method, which iteratively moves along the edges of the feasible region to find the optimal solution. Another approach is the graphical method, suitable for two-variable problems, where the feasible region is plotted, and the optimal solution is identified visually. Additionally, interior-point methods can be used for larger problems, offering polynomial-time complexity. Each method has its strengths and is chosen based on the problem size and complexity.
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