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Mathematics · JEE | LINEAR PROGRAMMING

हिन्दी

Given below are two statements: Statement I: The feasible region of a linear programming problem is always a convex region. Statement II: The optimal value of the objective function always occurs at the origin of the coordinate system.

  1. A
    Both Statement I and Statement II are correct.
  2. B
    Both Statement I and Statement II are incorrect.
  3. C
    Statement I is correct but Statement II is incorrect.
  4. D
    Statement I is incorrect but Statement II is correct.
View Answer & Solution

Correct answer · Option C

Statement I is correct but Statement II is incorrect.

Explanation

Statement I is true because feasible regions formed by linear inequalities are convex. Statement II is false because the optimal value occurs at a corner point, which may or may not be the origin.
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