# I have to solve for a maximization problemwith greek letters and simplify the expression but I don't know how to proceed

1 view (last 30 days)
Nordine Bouchelia on 22 Apr 2022
Commented: Nordine Bouchelia on 23 Apr 2022
Hello,
I'd like to know how to insert greek letters in the command window to solve a maximization problem and also to simplify an expression. Actually, I don't need matlab to maximize but to simplify expressions with greek letters. Could you help me please ?

Andres on 22 Apr 2022
Edited: Andres on 22 Apr 2022
To simplify expressions you need the Symbolic Math Toolbox in Matlab
or another computer algebra system
A greek letter inside a variable name throws an error
>> syms β
Error using syms
Invalid variable name.
so use a valid variable name instead like
syms beta
Torsten on 23 Apr 2022
I'd like just to maximize for pi_H and Pi_G for the third period and get the optimal p_3^D* and omega_3^D* by substituting p_3^D* into omega_3^D.
Sorry, I still don't get what you are trying to do. Are pi_H and Pi_G already derivatives of an objective function with respect to omega_3^D and p_3^D and you want to solve pi_H = 0 and Pi_G = 0 for omega_3^D* and p_3^D* to satisfy the necessary condition for a maximum ?
Nordine Bouchelia on 23 Apr 2022
No pi_H and pi_G are the objective functions of the whole 3 periods summed together for firm H and G
I need to derive with repect to omega_3^D and p_3^D and solve for the optimal values.
But for the expression of omega_3^D I for example, I need to get rid of the p_3^D so, substitute it inside the expression and find the same results as described above.