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JEE Main & Advanced Mathematics Linear Programming Question Bank Critical Thinking

  • question_answer
    The maximum value of \[z=4x+3y\] subject to the constraints \[3x+2y\ge 160,\ 5x+2y\ge 200\], \[x+2y\ge 80\]; \[x,\ y\ge 0\] is [MP PET 1998]

    A) 320        

    B) 300

    C) 230        

    D) None of these

    Correct Answer: D

    Solution :

    Obviously, it is unbounded. Therefore its maximum value does not exist.


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