Oil drilling cost P for an oil well of depth X. A standard modell says that the rate of the drillingcost increases proportional With the drillingcost between 400m and 6000m

dp / dx = AP

where A is the proportional constant.

Given the cost of a 500m Oil well is 0,3 mill dollar and that 4 000 m cost 4,1 million dollar estimate how much it will cost to drill 6 000 meter.

I've haven't tried anything since I don't really know where to start. Can someone please help me out, pref with a step-by-step solution. I've tried using online calculator to try to get a vague idea of how it works, but I didn't make any use of it.

Any help is really appreciated.