What does it mean for a feasible region to be unbounded?
Feasible sets may be bounded or unbounded. For example, the feasible set defined by the constraint set {x ≥ 0, y ≥ 0} is unbounded because in some directions there is no limit on how far one can go and still be in the feasible region.Click to see full answer. Herein, what is an unbounded…
Feasible sets may be bounded or unbounded. For example, the feasible set defined by the constraint set {x ≥ 0, y ≥ 0} is unbounded because in some directions there is no limit on how far one can go and still be in the feasible region.Click to see full answer. Herein, what is an unbounded feasible region?If the feasible region can be enclosed in a sufficiently large circle, it is called bounded; otherwise it is called unbounded. If a feasible region is empty (contains no points), then the constraints are inconsistent and the problem has no solution.Similarly, what is an unbounded problem? An infeasible problem is a problem that has no solution while an unbounded problem is one where the constraints do not restrict the objective function and the optimal objective goes to infinity. Both situations arise due to errors or shortcomings in the formulation or in the data defining the problem. Then, what does unbounded mean in linear programming? An unbounded solution of a linear programming problem is a situation where objective function is infinite. A linear programming problem is said to have unbounded solution if its solution can be made infinitely large without violating any of its constraints in the problem.How do you solve a feasible region?The feasible region is the region of the graph containing all the points that satisfy all the inequalities in a system. To graph the feasible region, first graph every inequality in the system. Then find the area where all the graphs overlap. That’s the feasible region.
