Solve the labour supply model, replace the utility function
u(c,1-l)=log(c)+log(1-l) with:
(a) u(c,1-l)=log(c)+b*(1-l), where b is a positive constant;
(b) u(c,1-l)=sqrt(c)+sqrt(1-l).
In each, how does the labour supply depend on the wage? How does it compare to the log utility model? Explain.