A basic feasible solution is called.................. if the value of at least one basic variable is zero
Question
A basic feasible solution is called.................. if the value of at least one basic variable is zero
Solution
A basic feasible solution is called a degenerate solution if the value of at least one basic variable is zero.
Explanation
In linear programming, a basic feasible solution corresponds to a vertex of the feasible region. If one or more of the basic variables are zero, it indicates that the solution lies at the intersection of the constraints in such a way that not all resources are fully utilized. This condition is significant because it can affect the uniqueness of the solution and the optimality conditions in solving linear programming problems. Degeneracy can lead to complications during optimization processes, such as cycling in the simplex method.
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