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avatar+483 

Let x_1, x_2, \dots, x_{100} be real numbers. If
x_1 + 2x_2 + \dots + 100x_{100} = 1,
then find the minimum value of x_1/1 + x_2/2 + \dots + x_{100}/100.

 Jul 11, 2025
 #1
avatar+114 
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The minimum value is sqrt(101) + 10.  I hope this helps!

 Jul 21, 2025

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