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Using Excel solver (or other method) with a common objective in multiple cells by changing the same variables, subject to constraints

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I am struggling with quite a complex problem in which I think I may be able to solve or at least partially solve using the Excel solver tool.

I am trying to set up a design of experiments analysis in which I have a number of parameters at two levels. I have one specific objective which I would like to be constant for each experiment, mass, e.g 15 grams. I also have written up some constraints on what values the parameters can and cannot be. I would then like to execute some kind of solver to optimise my parameters subject to constraints to achieve a constant mass (or at least as close as possible).

The excel solver is perfectly set up for this problem for a single objective cell but I need this tool to work for about 32 cells which are calculated using the same variables.

High and low level parameters and constraints
High and low level parameters and constraints

Design matrix and total mass
Design matrix and total mass


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