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  3. 12th Class
  4. Mathematics
  5. Linear Programming

12th Class Mathematics Linear Programming Question Bank Case Based (MCQs) - Linear Programming

  • question_answer
    If the objective function of the given problem is maximise \[z=22x+18y,\] then its optimal value occur at

    A) (0, 0)

    B) (16, 0)

    C) (8, 12)

    D) (0, 20)

    Correct Answer: C

    Solution :

    At (0, 0), z = 0 At (16, 0), z = 352 At (8, 12), z = 392 At (0, 20), z = 360 It can be observed that max z occur at (8, 12). Thus, z will attain its optimal value at (8, 12).


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