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

  • question_answer
    Suppose the following shaded region APDO, represent the feasible region corresponding to mathematical formulation of given problem.
                     
    Then which of the following represent the coordinates of one of its corner points ?

    A) (0, 24)

    B) (12, 8)

    C) (8, 12)

    D) (6, 14)

    Correct Answer: C

    Solution :

    We have, x +y = 20                                 ... (i) and       3x + 2y = 48                  ... (ii) On solving (i) and (ii), we get x = 8, y = 12. Thus, the coordinates of P are (8, 12) and hence (8, 12) is one of its corner points.


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