November 11–November 17, 2008

Problem

(Contributed by Aaron Dilley.) Let x, y, z be 3 positive real numbers such that x+y+z=1. Prove xyyzzx ≤ 1/3.

Solution

here

List of solvers

Jacob Lewis, Dustin Moody (graduate); Gary Raymond (staff); Steve Wilmarth, Peiyush Jain, Lloyd Sakazaki (outside).

Jacob Lewis wins the prize!