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In a linear programming problem, which one of the following is correct for graphical method? Ops: A. A point in the feasible region is not a solution to the problem B. One of the corner points of the feasible region is not the optimum solution C. Any point in the positive quadrant does not satisfy the non-negativity constraint D. The lines corresponding to different values of objective functions are parallel?
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In a linear programming problem, which one of the following is correct...
Graphical method in Linear Programming


Feasible region

For a linear programming problem, the feasible region is the set of all feasible solutions that satisfy all the constraints of the problem. The feasible region is bounded by the boundary lines of the constraints and the non-negativity constraints.


Corner points and Optimum solution

Corner points are the intersection points of the boundary lines of the constraints. The optimum solution to the linear programming problem is one of the corner points of the feasible region.


Objective function

The objective function of a linear programming problem is the function that is to be optimized or minimized. The objective function is represented by a linear equation. The objective function lines are parallel to each other and their slope represents the objective coefficient.


Correct statement for graphical method

From the given options, option B is correct. One of the corner points of the feasible region may not be the optimum solution. This is because the objective function lines are parallel to each other, and the optimum solution may lie on any of these parallel lines. Thus, the optimum solution may not always be a corner point of the feasible region.


Conclusion

Graphical method is a useful tool for solving linear programming problems. It helps in visualizing the feasible region and identifying the optimum solution. However, it is important to note that the optimum solution may not always be a corner point of the feasible region.
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In a linear programming problem, which one of the following is correct for graphical method? Ops: A. A point in the feasible region is not a solution to the problem B. One of the corner points of the feasible region is not the optimum solution C. Any point in the positive quadrant does not satisfy the non-negativity constraint D. The lines corresponding to different values of objective functions are parallel?
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In a linear programming problem, which one of the following is correct for graphical method? Ops: A. A point in the feasible region is not a solution to the problem B. One of the corner points of the feasible region is not the optimum solution C. Any point in the positive quadrant does not satisfy the non-negativity constraint D. The lines corresponding to different values of objective functions are parallel? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about In a linear programming problem, which one of the following is correct for graphical method? Ops: A. A point in the feasible region is not a solution to the problem B. One of the corner points of the feasible region is not the optimum solution C. Any point in the positive quadrant does not satisfy the non-negativity constraint D. The lines corresponding to different values of objective functions are parallel? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a linear programming problem, which one of the following is correct for graphical method? Ops: A. A point in the feasible region is not a solution to the problem B. One of the corner points of the feasible region is not the optimum solution C. Any point in the positive quadrant does not satisfy the non-negativity constraint D. The lines corresponding to different values of objective functions are parallel?.
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