beer-bottle=10, hamburger=5, beer-glass=2, hot dog=x
So we have the integral from 0 to infinity of 10sin(x) / 2x dx. This (the so-called "Dirichlet-Integral") is an improper integral. As the integral from 0 to infinity of sin( \omega ) / \omega d\omega = \pi/2 we get 5 \pi / 2 or, after applying the linguistic uncertainty-relation ("pi" => "pie"):
Absolutely correct, I expected the mathematicians to get it...
EDIT:
None of the people I know even attempted it. I knew it was beyond their understanding but these same people attempt the ultra-easy ones, and, often get them wrong as they don't know about operator order..