Formulating Incremental Commission
I'm trying to formulate the following multiplier sales commission structure:
Base Annual Salary - b
Charge Out - c
Individual's commission - i
Where c is < 1b then individual's commission is equivalent to 9% of c
where b < c < 2b then i is equivalent of 12.5% of c
where 2b < c < 3b then i is equivalent of 20% of c
where 3b < c < 4b then i is equivalent of 25% of c
where 4b < c then i is equivalent of 30% of c
As an extension to this, how would one figure out the optimum salary for any given target total annual income?
Since I'm not sure what area of maths this is (although I have a feeling it's something to do with sets) I also don't know whether I am repeating another thread.
Many thanks to anyone can help me out with this one.