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2015 JBMO Shortlist
A1
inequality
inequality
Source: Maybe Azerbaijan
May 10, 2016
inequalities
Problem Statement
Let x; y; z be real numbers, satisfying the relations
x
≥
20
x \ge 20
x
≥
20
y \ge 40 z \ge 1675 x + y + z = 2015 Find the greatest value of the product P = xy z
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