# Optimal Control - Calculus of Variations

Hello, I have a question I've posted elsewhere and will post it here for simplicity, https://math.stackexchange.com/questions/4283713/optimal-control-model .

I'm trying to find the profit function. All the specific info should be in the link but if not I attached the short article im looking at with the specific example in more detail.

• I think page 1121 states the whole problem I'm trying to solve.

• Are you trying to maximize the function pd? What are the fixed variables and what are the variables that you would like to maximize with respect to?

• I am trying to maximize it. I'm not sure which variables are fixed, as it is a dynamic model. I'm trying to recreate the table on page 1120 but with an initial quantity of 5,000 instead of 10,000. The page also explains where the maximum values come from (which equations it used) if that helps, sorry I'm not much help I only understand the paper on a purely theoretical level, not really the specific example. I can offer more bounty for help recreating this table for my specific case aswell.

• So you expect someone to kind of read the paper and explain it to you. That would require at least a couple of hours of work. Yes, your bounty seem too low for that much work.

• Did you check the link I provided? I'm not sure the paper really needs to be read, I just reference it as it specifically mentions the equations it uses and it's easier than typing it. I think with the variables defined the paper doesn't really need to be read at all, but I might be wrong.

• But if it does, I'd be happy to change it to whatever price seems fair.

• I understand the paper, but I just don't know how to get values for the "optimum strategy" part of the table given. That is basically what I'm trying to find from all of this.

• Yes, but the information provided in the link is incomplete. Some of the variables do not even appear in the function you want to maximize, and one needs to know what are the independent variables.