I am developing a computer program which needs to solve a constrained, parametric optimization, something like :
meaning to calculate min(x) such as y = b*x+a and x <= c and x >=0 where x and y are variables, a, b, c are constant but unknown parameters.
Since the problem is calculated at runtime from my computer program and changes every time, I think I need to solve it with some form of constrained programming with a symbolic result.