Solving equation problem with constrains using the Optimization Toolbox
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I have a problem with handful of variables and constrains, it look a lot like this one:
However, instead of finding the minimum cost like the problem above, I already have a target cost, but find the variables that fits this target cost. So I look at the equation problems:
But it seems that the equation problem wouldn't allow me to add constrains, what should I do?
Matt J on 12 Nov 2021
Edited: Matt J on 12 Nov 2021
Use your first approach except specify a least squares objective, like below.
target=10; %target cost
solve( optimproblem('Objective', (x+2*y-target).^2,'Constraints',con) )
Be mindful, however, that the solution will probably be non-unique. For example, another solution to the example problem above is x=10, y=0.