Interesting problem

[othersirate]

Assume you start on a globe without any rocks, but you have 100 coal, 100 stone, 1 burner miner, and 1 furnace. Infinite ore is nearby (coal, stone, copper, iron). Hand mining is disabled. All entities are placed immediately (zero time), and resources are fed / grabbed. Everything is already powered.

If you get stuck, don't be afraid to simplify even more.

What is the maximum number of miners that can be built in 10 minutes?

Bonus marks for algorithms and equations!