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JEE Main & Advanced Mathematics Linear Programming Question Bank Linear Programming

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    The solution for minimizing the function \[z=x+y\] under a L.P.P. with constraints \[x+y\ge 1\], \[x+2y\le 10\], \[y\le 4\] and \[x,\ y\ge 0\],  is 

    A)                 \[x=0,\ y=0,\ z=0\]         

    B)                 \[x=3,\ y=3,\ z=6\]

    C)                 There are infinitely solutions     

    D)                 None of these

    Correct Answer: C

    Solution :

                    Objective function is same as constraints so there are infinite solutions possible.


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