dynamic optimization

*To*: mathgroup at smc.vnet.net*Subject*: [mg35268] dynamic optimization*From*: "anna in the sky" <annainthesky at mac.com>*Date*: Fri, 5 Jul 2002 02:21:11 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

Hi, hopefully somebody is able to help me with this (probably pretty easy ) thing: I need to do a dynamic maximization over a couple of periods, where the objective function is nonlinear, and the constraint is linear differential equation. The problem looks like this and I tried some things but dont know how to solve it actually objective function: U:= Exp[-rho*t]*Log(Ct/1+(S(t)*P-4C(t))^2 constraint: Constr:= (S(t+1)-S(t))*P(t)+C(t)= = W(t)*L(t)+pi(t)*S(t)*P where P=1 rho=0.6 pi(t)=0.03 w(t)=4 L(t)=10 the given values can actually be something else, too. We seek C and S. does anyone have an idea how to fix this? Just a idea, hint or anything, I would be more than glad :) Thanks //anna