There are infinitely many ways to do this. I think in order to give you better advice, we need to know more context. What do these numbers represent? You use units of area. The area of what object?

The first thought that came to my mind was to think of the problem as a graphical problem in two dimensions. You essentially want to have a function taking the set {0,1,...,10} to the desired partition of [0.01,4]. So draw the problem as a graph problem in two dimensions, and see if something doesn't suggest itself (I don't exactly know what that would be - this is not a rhetorical question).