I have a formula, known as the Bass Curve Formula, that I would like rearranged. The formula generates an S curve that initially grows slowly, then accelerates before slowing down and plateauing. (See example)
I would like the formula to be rearranged to find a variable (p).
Please find the attached file for a detailed explanation.
Re-arranging an Algebraic Formula
I have a formula, known as the Bass Curve, that I would like re-arranging. The formula generates an S curve that initially grows slowly, then accelerates before slowing down and plateau-ing. (See example)
The standard Arrangement of the Formula is:
Nt = Nt-1 + p.(m - Nt-1) + q. Nt-1.(m - Nt-1)/q
Nt = Current population no.
Nt-1 is last year’s population no.
m is the maximum threshold
And p and q are constants
I would like to re-arrange the formula to find p.
It should be a straightforward exercise for an experienced maths person but like I said my algebra is rusty.
We can rewrite this formula as follows.
An algebraic formula is rearranged.