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Algebra Level 3

If xi>0x_i > 0, for i=1,2,,50i = 1 , 2 , \ldots , 50 and x1+x2+x3++x50=50 x_1 + x_2 + x_3 + \ldots + x_{50} = 50. Find the minimum value of 1x1+1x2++1x50\dfrac{1}{x_1} + \dfrac{1}{x_2} + \ldots + \dfrac{1}{x_{50}}.

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