JEE Main · MathematicsEasy
What is the feasible region in a linear programming problem?
- A.The set of all points that satisfy the objective function
- B.The set of all points that satisfy all constraints simultaneously
- C.The point where the objective function is zero
- D.The boundary of the coordinate plane
Show correct answer & step-by-step solution
Correct answer: B — The set of all points that satisfy all constraints simultaneously
Solution
- A linear programming problem is defined by a set of constraints expressed as linear inequalities.
- The feasible region is the geometric area formed by the intersection of all these constraint inequalities.
- Any point located within this region satisfies all the given constraints simultaneously.
- Hence the answer is (B).
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