There are 101 men, some of them are drivers and some of them are fuel carrier. each car can carries enough fuel for a single race. How do we maximize the number of race?
attempt: let $x$ be the number of drivers, $y$ be number of fuel carriers. $x+y=101$, and we want to maximize $x+xy$. I would go with $x=51$ and $y=50$ this is just my feeling.
Is this right?