I just done one real quick for an UTG range

Lets say we 4bet/call off w/ QQ+, this equals 1.4%. If we 4bet bluff w/ AQs-AJs,KQs,AQo,KQo, this equals 2.7%. If we call a 3bet w/ JJ-TT, this equals 1%.

X+Y+Z = 5.1%. Opening range is 3x(X+Y+Z) = 15.3%. Even if I tighten that range up to 13%, we are still opening 77+,A8s+,K9s+,QTs+,JTs,ATo+,KJo+,QJo and that just seems quite a wide UTG range.

Have I gone wrong somewhere?

EDIT - I posted this before I read above post. I will work on it (I'm obviously 4bet bluffing too wide) and re-post w/ new ranges.