What is meant by 'range of feasibility' in linear programming?

The concept of 'range of feasibility' in linear programming primarily pertains to the changes in the parameters of the model—specifically, the constraints. In linear programming, when we refer to the range of feasibility, we are focused on the limitations within which these parameters can change without altering the fundamental nature of the feasible region or valid solutions.

The correct understanding is encapsulated by the range reflecting the permissible adjustments in constraints while still maintaining a feasible solution. This allows practitioners to explore how variations in the constraints affect the overall solution without crossing the boundaries of feasibility.

In contrast to other choices, such as the total number of feasible solutions, which does not discuss the flexibility of adjustments, or the limits on changing objective function coefficients, which is more related to dual values, they miss the core essence of feasibility and parameter adjustment. The concept specifically emphasizes how far the constraints can be modified before the feasible region changes, thereby affecting potential solutions.