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Can't figure it out with the information provided:
How many days in a year? (365, 365.25, 366, or ?)
How many days in a year? (28, 29, 30, 31, or some average of these numbers)?
Highest average scenario (365 days for the year, then use February for 28, then have the last one on March 1st) comes out to 3 hot dogs in 394 days, or 0.00761421320 hot dogs per day.
Lowest average scenario (Leap year, a month with 31 days, then the final day) comes out to 3 hot dogs in 398 days, or 0.00753768844 hot dogs per day.
For those of you keeping score at home, that's a variance in average of 0.00007652479 hot dogs per day. I'm thinking the difference only works out to a couple poppy seeds on the bun.
("Why?" I hear you ask. I don't know, probably for the same reason a group of us sat around in college in the '80's and figured out the explosive power of a photon torpedo launched from the Enterprise and determined it would be enough energy to blow a battleship to the moon.)