He will get the max which is $30M... or close to it to stay there... LT is at 121M. They also have to fill out the roster so 4 or 5 guys at a minimum of 1.5M so looking at $130-135M. They can stretch Ajinca but they would also likely replace his roster spot so they save a couple million maybe.
There was a reason they wanted the option... If we send our non-guaranteeds on draft night (thabo and Jerebko) they clear the 12.5 and may keep Jerebko - his guarantee date is 7/9 Thabo's is 7/1. Shaving $8m is quite helpful for them. They will need to get good minimum dudes because those guys will actually be in the rotation.
I think Dallas, Phoenix, and LA would likely offer Boogie very close to the max. Unless they decide to move Davis because they miss the playoffs this year they are in between a rock and a hard place.