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2011 JBMO Shortlist
4
Maximum of xy
Maximum of xy
Source: JBMO 2011 Shortlist A4
May 15, 2016
inequalities
Problem Statement
A4
\boxed{\text{A4}}
A4
Let
x
,
y
x,y
x
,
y
be positive reals satisfying the condition
x
3
+
y
3
≤
x
2
+
y
2
x^3+y^3\leq x^2+y^2
x
3
+
y
3
≤
x
2
+
y
2
.Find the maximum value of
x
y
xy
x
y
.
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