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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