This is a follow up question my earlier question about sending supplies to Mars.
It's 2250 AD (or some such future date). Say you have a young man with a dream that inherits a 500 billion widget fortune. He decides to plow his windfall into a space freighter business. For his inaugural loads, he plans to send as many 10,000 kg blocks of ice to Mars at the end of the next 24 month cycle, where he'll fetch a decent price from the Martian colonists.
What's the cheapest practical flight plan to send 10,000 kg of water ice to Mars from LEO?
Let's assume no breakthrough physics, just perhaps incremental increases in current technology. Let's also say he already can get his payload into orbit at a low-enough cost, and the Martians can retrieve it by whatever means from low Mars orbit (LMO). He wants to ship from LEO to LMO at the lowest cost per kilogram.