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

  • question_answer
    The corner points of the feasible region determined by the system of linear inequalities are

    A) (0, 0), (-3, 0), (3, 2), (2, 3)

    B) (3, 0), (3, 2), (2, 3), (0, -3)

    C) (0, 0), (3, 0), (3, 2), (2, 3). (0, 3)

    D) None of these

    Correct Answer: C

    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) \[4\times 0-6\times 3=-18\] \[4\times 5-6\times 0=20\] \[4\times 6-6\times 8=-24\] \[4\times 0-6\times 8=-48\]
    The corner points of the feasible region are O(0, 0), A(3, 0), B(3, 2), C(2, 3), D(0, 3).


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