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The while solving a LP model graphically, the area bounded by the constraints is called
- a)feasible region
- b)infeasible region
- c)unbounded solution
- d)none of the above
Correct answer is option 'A'. Can you explain this answer?
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The while solving a LP model graphically, the area bounded by the cons...
Feasible Region in LP Model
The feasible region is a term used in linear programming to describe the set of all possible solutions to an optimization problem. When solving a linear programming problem graphically, the feasible region is the area bounded by the constraints.
Features of Feasible Region:
1. It is a convex polygon.
2. Every point inside the feasible region satisfies all the constraints.
3. The objective function is optimized at one of the corners of the feasible region.
4. The feasible region can be either bounded or unbounded.
Infeasible Region and Unbounded Solution
An infeasible region is a region that does not contain any feasible solutions. It is the region outside the feasible region, where at least one of the constraints is violated.
An unbounded solution is a solution that can be increased or decreased without limit. It occurs when the objective function can be improved indefinitely in a particular direction. In other words, the feasible region extends infinitely in one or more directions.
Conclusion
In conclusion, the feasible region is the area bounded by the constraints in a linear programming problem. It contains all possible solutions that satisfy the constraints. An infeasible region is a region that does not contain any feasible solutions, while an unbounded solution occurs when the feasible region extends infinitely in one or more directions.
The feasible region is a term used in linear programming to describe the set of all possible solutions to an optimization problem. When solving a linear programming problem graphically, the feasible region is the area bounded by the constraints.
Features of Feasible Region:
1. It is a convex polygon.
2. Every point inside the feasible region satisfies all the constraints.
3. The objective function is optimized at one of the corners of the feasible region.
4. The feasible region can be either bounded or unbounded.
Infeasible Region and Unbounded Solution
An infeasible region is a region that does not contain any feasible solutions. It is the region outside the feasible region, where at least one of the constraints is violated.
An unbounded solution is a solution that can be increased or decreased without limit. It occurs when the objective function can be improved indefinitely in a particular direction. In other words, the feasible region extends infinitely in one or more directions.
Conclusion
In conclusion, the feasible region is the area bounded by the constraints in a linear programming problem. It contains all possible solutions that satisfy the constraints. An infeasible region is a region that does not contain any feasible solutions, while an unbounded solution occurs when the feasible region extends infinitely in one or more directions.
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The while solving a LP model graphically, the area bounded by the constraints is calleda)feasible regionb)infeasible regionc)unbounded solutiond)none of the aboveCorrect answer is option 'A'. Can you explain this answer?
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