I think you need to step back and think about what you’re trying to achieve.
Do you have, on a piece of paper, a mathematical formulation of your problem as a (mixed-integer) linear program?
- What are the decision variables?
- What are their bounds?
- What are the constraints?
- What is the objective function?
It doesn’t make sense to minimize a vector of numbers, which is what @objective(model, min, c) is trying to do.