Using Minimize in Program Loop

I am analysing a system defined by a set of parameters, and I need to analyse it for an array of these parameters.

I want to use Minimize to find an array of minimum values of a function defined by the array of parameters. I also want to use the result found on one set of parameters as an initial guess for the next use of Minimize on the next set.

My original worksheet is too long to post (and to calculate), but I have attached an 11.2a sheet that I think shows the essence of what I want to do. If it's unclear, please say so.

Please don't worry about the details of the problem given here: it's a madeup example that might not work all the way through. It's the principle of how to do it that I'm after.

I'd be grateful for any assistance.

Jon