Final answer:
A feasible region is the space where none of the constraints are violated, and the best solution within this region is the optimal solution.
Therefore, the correct answer is: option a) True.
Step-by-step explanation:
A feasible region is the set of all points that satisfy the constraints of a linear programming problem. In other words, it is the space where none of the constraints are violated.
The best solution within the feasible region is known as the optimal solution, which maximizes or minimizes the objective function.
For example, suppose we have a linear programming problem with the constraints x ≥ 0, y ≥ 0, 2x + 3y ≤ 10, and x + y ≤ 6. The feasible region would be the area that satisfies these constraints, such as a triangular region. The optimal solution would be the point within this region that maximizes or minimizes the objective function.
Therefore, the statement in the question is true. The feasible region is the space where none of the constraints are violated, and the best solution within this region is the optimal solution.