There is a desert which is 1000 miles across. There is a camel who can carry 1000 bananas maximum. The camel eats 1 banana per mile travelled. The camel has a total of 3000 bananas to begin with. What is the maximum number of bananas that the camel can get across to the other side uneaten?

My camels don't understand/can't eat fractional bananas. My first camel put 2000 bananas at 200 miles then 1001 bananas at 533 miles then left 1 banana at mile 533 and sprinted for home, arriving with 533 bananas My second camel put 2000 bananas at 200 miles then 1001 bananas at 533 miles then ate 1 banana at mile 533 and found the energy to move the 1000 bananas to mile 534 and sprinted for home, arriving with 534 bananas My third camel put 2000 bananas at 200 miles then 1001 bananas at 533 miles then ate 1 banana at mile 533 and found the energy to move the 1000 bananas to mile 534 and sprinted for home, arriving with 535 bananas figuring he'd pay for his last mile with credit. My fourth camel, the biggest strongest camel, was already waiting at the destination and charged each of the other camels a 50% banana tax, rounded up to the nearest banana, plus a 10 banana collection fee and left with 832 bananas and didn't have to do anything but paperwork while the other camels were now short of bananas and had to find a new way to get more bananas. Mike