Yes

yes

Yes it is important

yes, to find the best optimal solutions.

Yes, due to the fact that it establishes potential solutions to an optimization problem, the feasibility region is significant.

Yes, it is crucial to have a feasible region because it indicates the best answers and refrains you from choosing the wrong ones.

yes, it can help us to find the optimal solution

Yes it's important to have a feasible region

I think yes, because if it doesn't have feasible region you will not find the best possible solution. 

yes, it determines the possible solutions for an optimization problem.

Yes, it is only through the feasible region, found using the constraints, that we can find the optimal solution.

Yes, it is important to have a feasible region considering that, it determines the possible solution to complex problem.

Yes, It's important

Yes, it helps us to fine the best solution

yes to find the optimal solution 

Yes, as we need it to find the optimal solution

Yes

Yes to find optimal solution

Yes, because you can only found the near or possible solution in the feasible region

Yes to find the optimal solution

yes

Yes, because the set of all viable solutions that would meet the given constraint may be found in the feasible region.

Yes, because the constraints of a linear programming problem are represented by inequalities or equalities. The feasible region is the region where all these constraints are satisfied simultaneously.

Yes, the feasible region defines the set of feasible solutions that adhere to all the constraints of the problem. Solutions outside the feasible region violate one or more constraints and are not valid solutions.

Because of feasible region we can find the nearest possible solution, so yes it is important.

Yes, to identify or find a possible solution in the feasible region

Yes, because in feasible region we can find the set of all possible solutions that will satisfy the given constraint.

Yes

YES

yes

yes, because if the feasibility region is empty, it means that there is no solution that satisfies all the constraints, and the problem is infeasible.

Yes. To find the optimal solution.

Yes

Yes! It determine what are the region where satisfy all the constraints.