OK, this is probably too simple. In fact, I think I already know the answer, but here goes...
The Paladin has the ability to heal damage = his level x his charisma bonus.
The PC in question is a Pal7/Sor4/Spellsword4, with CHA 20 (+5).
Can he lay-on hands for 35 pts/day (7 x 5), or 75 (15 x...