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JEE Main & Advanced Mathematics Linear Programming Question Bank Self Evaluation Test - Linear Programming

  • question_answer
    The feasible region for an LPP is shown shaded in the figure. Let \[Z=3x-4y\] be the objective function. Minimum of Z occurs at

    A) (0, 0)

    B) (0, 8)

    C) (5, 0)

    D) (4, 10)  

    Correct Answer: B

    Solution :

    [b] Construct the following table of the values of the objective function:
    corner point (0, 0) (5, 0) (6, 5) (6, 8) (4, 10) (0, 8)
    Value of \[Z=3x-4y\] 0 15 -2 -14 -28 -32
    (Maximum)                  (Minimum)


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