An inequality

From: chhealey <chhealey@xxxxxxxxx>
Date: Mon, 3 Dec 2007 01:22:00 -0800 (PST)

Is there any upperbound or lowerbound for (x_1+x_2+...+x_n)/
(y_1+y_2+...+y_n) in terms of x_i/y_i?
For example, (x_1+x_2+...+x_n)/(y_1+y_2+...+y_n)<=x_1/y_1+x_2/y_2+...
+x_n/y_n. But this bound is loose.
Thanks.

Chris
.

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