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

  • question_answer
    If \[Z=x+y\] be the objective function and max Z = 30. Then maximum value occurs at point

    A) \[\left( \frac{50}{3},\frac{40}{3} \right)\]

    B) \[(0,0)\]

    C) (25,0)

    D) (0,20)

    Correct Answer: A

    Solution :

    Here \[Z=x+y\]
    Corner Points Value of \[Z=x+y\]
    (0, 0) (25, 0) \[\left( \frac{50}{3},\frac{40}{3} \right)\] (0, 20) 0 25 \[30\leftarrow Maximum\] 20
    Thus, max \[Z=30\] occurs at point \[\left( \frac{50}{3},\,\frac{40}{3} \right)\].


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