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JEE Main & Advanced Mathematics Linear Programming Question Bank Self Evaluation Test - Linear Programming

  • question_answer
    The maximum value of \[z=3x+4y\] subject to the condition \[x+y\le 40,x+2y\le 60,x,y\ge 0\] is

    A) 130

    B) 120

    C) 40

    D) 140

    Correct Answer: D

    Solution :

    [d] obviously, \[z=3x+4y\] will be maximum at \[(20,20)\] \[\therefore Maxz=3\times 20+4\times 20=60+80=140\]


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