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  3. 12th Class
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  5. Linear Programming

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

  • question_answer
    Maximum value of Z occurs at

    A) (5,0)

    B) (0,8)

    C) (0, 3)

    D) (6, 8)

    Correct Answer: A

    Solution :

    Construct the following table of values of objective function
    Corner Points Value of \[Z=6x+3y\]
    (0, 3) (5, 0) (6, 8) (0, 8) \[4\times 0-6\times 3=-18\] \[4\times 5-6\times 0=20\] \[4\times 6-6\times 8=-24\] \[4\times 0-6\times 8=-48\]
    Maximum value of Z is 20, which occurs at (5, 0).


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