Handy Point Scoring Reference Chart

[Grommit]

OOPS! I'm still thinking about soccer balls! Whoops! Hope that doesn't get confusing, sorry about that.

Yep, half the boxes should be in a stack:

f(x) = n(x-n) = nx-x^2
f'(x) = n-2x = 0
x = n/2
f''(x) = -2, therefore n/2 is a maximum.

Yeah, the ax^2+bx+c was a clever hint :-D, especially tricky because it implied that there might be a projectile, since this is a generalization of the parabolic path of a flying object...

Unfortunately the c gets messy.

Have fun with the game! Good Luck!

Do you know if boxes on their side will count as 2 boxes?