Pen Density Function

Hmmm, I think that for every environment and every situation, there exists a minimum density of pens such that the average time it takes for a someone looking for a pen is less than the amount of time before frustration sets in.

1. d = minimum density of pens
2. p = density of people
3. v = average velocity of user
4. t = mean time between pen usage
5. f = time it takes for user to get frustrated
6. k = konstant

d = p • k • v² / f / t

For me, I think that d is around 0.25 pens/m² in my standard environment.

Now to calculate how the probability density function relates to the pen density function and write it up in a portable document format.