The author comments that he doesn't like their new logo.
https://www.wolframalpha.com/input/?i=(727+hours+%2F+(4+minu...
This is assuming you've brushed your teeth for two minutes, twice a day, since the day you came out of the womb.
If I offended you, I'm sorry.
roughly 22 working days per month.
72.7/22 = 3.3 months
As far as logo design goes, this is actually pretty fast. Most companies I've dealt with stuff like this usually takes much, much longer depending on how picky the founders are.
Also worth mentioning is the $X million dollars spent on redesigning Merrill Lynch's logo. The only redesign that occurred was a different angle view of the lion.