The region which satisfies all of the constraints in graphical linear programming is called the:
A) optimum solution space.
B) region of optimality.
C) lower left hand quadrant.
D) region of non-negativity.
E) feasible solution spacE.

Question

Quizplus · Accepted Answer

The feasible solution space is the region in graphical linear programming that satisfies all of the constraints. This region represents all possible combinations of decision variables that can be chosen while still satisfying the constraints. Therefore, it is the space where feasible solutions, if they exist, can be found. Therefore, option E, "feasible solution space," is the correct choice. Option A, "optimum solution space," is incorrect because this refers to the specific point or points within the feasible solution space that represent the optimal solution(s) to the problem. Option B, "region of optimality," is also incorrect because it does not refer to the feasible solution space itself but to the area where the optimal solutions are located. Option C, "lower left-hand quadrant," is too specific and does not reflect the general concept of the feasible solution space. Option D, "region of non-negativity," is also incorrect because it refers to a specific type of constraint rather than the entire feasible solution space.

The Region Which Satisfies All of the Constraints in Graphical