Hello, I am trying to solve this equation:
Solve[{D[prof[p],{p}]==0},{p}]
where the function prof is defined the following way:
prof=pn^(sigma-1)*y*p^(-sigma)(p-c)
Mathematica sends me an error message:
Solve::nsmet This system cannot be solved with the methods available to Solve.
What should I do ? Can I use some other function instead of Solve?
You have several errors in defining the function prof.
First of all, in order to make the function applicable to its variable in that way prof[p], then you need to define it in the following way
prof[p_] := p n^(sigma - 1) y p^-sigma (p - c);
notice that there is a space between p and n which indicate a multiplication, without the space pn will be considered as a new variable.
Then you can proceed with the differentiation and solving
Solve[{D[prof[p], {p}] == 0}, p]
Just remove some extra brackets:
prof = pn^(sigma - 1)*y*p^(-sigma) (p - c);
Solve[D[prof, p] == 0, p]
Thank you very much, that worked!
Thank you very much, pn was actually some other paramter not linked to the variable p, but declaring the function as prof[p_] made the trick.