How do you recognized an unbounded Lp problem in Skmolex Method?
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In the Simplex Method, an unbounded LP problem is recognized when the objective function can be increased indefinitely (for a maximization problem) without violating any constraints. This occurs when no pivot is possible to maintain feasibility, and at least one non-basic variable with a negative reduced cost has an unrestricted increase.
An unbounded LP problem in the Simplex Method is identified when a positive coefficient in the objective function row corresponds to non-positive ratios of RHS values to the entering variable's coefficients, indicating that the variable can increase indefinitely without constraint, leading to an unbounded solution.
In the Simplex Method, an unbounded LP problem is recognized when, during the pivoting process, a variable enters the basis with a positive coefficient in the objective function row, but all corresponding ratios of the right-hand side to the coefficients of the entering variable in the pivot column are non-positive. This indicates that the variable can increase indefinitely without violating any constraints, signifying that the solution is unbounded.