1 votes 1 votes Let $S$ be the set of all tuples $(x, y)$ with $x, y$ non-negative real numbers satisfying $x + y = 2n$, for a fixed $n \in \mathbb{N}$. Then the supremum value of $x^{2}y^{2}(x^{2}+y^{2})$ on the set $S$ is $3n^{6}$ $2n^{6}$ $4n^{6}$ $n^{6}$ Set Theory & Algebra tifrmaths2014 set-theory&algebra + – makhdoom ghaya asked Dec 17, 2015 • edited Aug 18, 2020 by soujanyareddy13 makhdoom ghaya 314 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.