Matlab fails to solve simple symbolic equation

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Oliver
Oliver on 11 Mar 2013
Hey, I have a simple optimization problem which I want to solve using Lagrange. The FOCs are correctly determined, however, Matlab fails to solve them. Do I need more assumptions? Anything else I can do? I'm sure this has a solution, since it's simple Cobb Douglas utility optimization problem! Cheers,
Oliver
clear;
syms x s l m gx gs py;
assume(gx>0&gs>0&m>0&py>0&x>=0&s>=0);
u(x,s)=x^gx*s^gs;
L(x,s,l)=u(x,s)-l*(x+py*s-m); %lagrangian
dif=jacobian(L(x,s,l),[x s l]);
[xi, si, li]=solve(dif,x,s,l);

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