I'm developing a game where I've come to the point where I need a formula to calculate the gold cost of a resource. I want the gold to get lower the more resources are sold, so if A is gold and B is the resource, the higher B gets, the lower A needs to be. I'm posting this here because I'm looking for some different options and the math board seems like a logical place to ask for help with a formula.

Thanks for reading,



1 Answer 1


One of the simplest formulas would be $A=\frac{c}{B^{n}}$ where $c$ and $n$ are arbitrary constants. As $n$ increases, the magnitude of the rate at which $A$ decreases with increasing $B$ increases. $c$ works similarly, but not identically. You can experiment and plug in values to decide what is best.

  • $\begingroup$ I'll try implementing this formula and let you know how it turned out, thanks alot in advance. $\endgroup$ Jan 28, 2013 at 11:24
  • $\begingroup$ This works perfectly, thank you. $\endgroup$ Jan 28, 2013 at 11:49

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