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JEE Main & Advanced Mathematics Linear Programming Question Bank Linear Programming

  • question_answer
    For the L.P. problem Min\[z=2x+y\] subject to \[5x+10y\le 50,\] \[x+y\ge 1,\ \ y\le 4\] and \[x,\ y\ge 0\], \[z=\]

    A)                 0             

    B)                 1

    C)                 2             

    D)                 ½

    Correct Answer: B

    Solution :

                    After drawing a graph we get the vertices of feasible region are (1, 0), (10, 0), (2, 4), (0, 4) and (0, 1).                 Thus minimum value of objective function is at (0, 1)                 Hence \[z=0\times 2+1\times 1=1\]


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