  In this paper, we show that the set of continuous functions defined on
$\mathbb{R}^n$ that approach zero at infinity and attain their maximum at
precisely one (and only one) point is $n$-lineable but not $(n+2)$-lineable.
This result complements some recent published works on an open question
originally posed by Vladimir I. Gurariy (1935--2005) in 2003.
