Camel & Bananas

A camel used to transport bananas must travel 1000 miles
across a desert to reach customers living in an exotic city. At any
given time, the camel can carry up to 1000 bananas and must eat
one banana for every mile it walks.
Challenge: Assuming an initial stock of 3000 bananas, what is the
maximum number of bananas that the camel can transport across
the desert and into the eager hands of waiting customers who live
in the exotic city?

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