yes they do have 'minumum cutoffs' though I didn't know they were published. Most universities have a number of places reserved for EAS students (eg 10) and a limit to how low below the cutoff (eg 5 points) so, for example, in a course of 95, an eas student may be able to get in with a uai of 90. However, they will take the 10 highest UAIS with eas applications, the 10th persons UAI being the minimum cutoff (works the same way as normal cutoffs really). If only 8 people have a uai over 90, only 8 people will be accepted, because they will only award a maximum of 5 bonus points, just the same as alot of universities say they will not accept anyone with a UAI below 65 for any course....
I hope that makes sense :/