A basic feasible solution is a basic solution that
A)also satisfies the nonnegativity conditions.
B)contains 0 variables.
C)corresponds to no extreme points.
D)None of these are correct.

Question

Quizplus · Accepted Answer

A basic feasible solution is a basic solution that satisfies the nonnegativity conditions, i.e., all variables are nonnegative. A basic solution is a solution where a certain number of variables are set to zero and the remaining variables are determined by the equations defining the constraints. It corresponds to an extreme point of the feasible region. Therefore, the option A, which mentions that a basic feasible solution also satisfies the nonnegativity conditions is correct. Option B is incorrect because a basic feasible solution need not contain any 0 variables. Option C is incorrect as a basic feasible solution corresponds to an extreme point. Option D is incorrect as option A is correct.

A Basic Feasible Solution Is a Basic Solution That