Long maximum
Algebra
Level
5
Let \(x, y\) be real numbers satisfying \(x+y = 3\). To 2 decimal places, what is the maximum value of
\[x^4 y + x^3 y + x^2 y + x y + x y^2 + x y^3 + x y^4 ? \]
Other problems: Check your Calibre
by
Md Zuhair