Question:
The common region determined by all the constraints of a linear programming problem is called:
The common region determined by all the constraints of a linear programming problem is called:
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The feasible region is the set of all points satisfying the constraints in a linear programming problem.
Updated On: Jan 27, 2025
- an unbounded region
- an optimal region
- a bounded region
- a feasible region
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The Correct Option is D
Solution and Explanation
Step 1: Definition of feasible region.
The feasible region is the common region determined by all constraints (inequalities) in a linear programming problem. It represents all possible solutions. Step 2: Analyze the options.
- (A) Unbounded region: May or may not occur depending on constraints. - (B) Optimal region: Refers to the solution, not the region itself. - (C) Bounded region: A feasible region may or may not be bounded. - (D) Feasible region: Always the common region defined by constraints. Step 3: Conclusion.
The correct answer is: \[ \boxed{\text{a feasible region}}. \]
The feasible region is the common region determined by all constraints (inequalities) in a linear programming problem. It represents all possible solutions. Step 2: Analyze the options.
- (A) Unbounded region: May or may not occur depending on constraints. - (B) Optimal region: Refers to the solution, not the region itself. - (C) Bounded region: A feasible region may or may not be bounded. - (D) Feasible region: Always the common region defined by constraints. Step 3: Conclusion.
The correct answer is: \[ \boxed{\text{a feasible region}}. \]
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