Assertion (A): The optimal value of a linear objective function on a bounded feasible region occurs at a corner point.
Reason (R): A linear function on a segment takes its largest and smallest values at the ends of the segment.

Both A and R are true, and R is the correct explanation of A.Correct answerYour answerBoth A and R are true, but R is not the correct explanation of A.Correct answerYour answerA is true, but R is false.Correct answerYour answerA is false, but R is true.Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

A is the corner point theorem.
R is true, and applied edge by edge it pushes the optimum to the corners: it explains A.

Concept: Why the optimum is at a corner
Typical timeTypical: 90 s
Your timeYours: —

The rule this testsThe corner-point method

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Ten questions from Linear Programming, at your own pace.

Assertion (A): The optimal value of a linear objective function on a bounded feasible region occurs at a corner point.Reason (R): A linear function on a segment takes its largest and smallest values at the ends of the segment.

Explanation

Assertion (A): The optimal value of a linear objective function on a bounded feasible region occurs at a corner point.
Reason (R): A linear function on a segment takes its largest and smallest values at the ends of the segment.