Quest:School of Hard Knocks

From Cities

Prerequisite: Variable cost
Reward: Increased maximum HP
Location: School of Hard Knocks 9E 44S DSSGCM
AP Cost: 50AP each training session

Offers training to give you an increased maximum HP. After you complete a level you can return and get more training at the next level, with an increased cost. Each level gives you +30 Max HP and takes 50AP to complete. As far as it is known, there is no limit to the number of levels you can complete.

It also hurts. The bastards.

You get trained. It largely involves being hit repeatedly over the head with bits of wood. 
When you wake up you do feel a bit tougher.

Your health is reduced to 5 when you train. If your health was lower than 5, it increases to 5.

Costs:

Level	Gold Pieces	Triffid Stings	Crocodile Scales	Phoenix Feathers	Roc Rocks
1	500	1	2	2	1
2	1000	2	4	4	2
3	1500	3	6	6	3
4	2000	4	8	8	4
n	500*n	n	2*n	2*n	n

As it takes time and effort to get to the school, you might want to save up the required items in advance and only visit the school when you can advance a number of levels without needing to go and collect any items in between each training session. So, to work out quickly how many triffid stings or crocodile scales you'll need to train up to level n:

Triffid Stings and Roc Rocks: 0.5 n (n + 1)

Phoenix Feathers and Crocodile Scales: n (n + 1)

Gold pieces: 250 n (n + 1)

A more advanced formula, if you take x as your current level and n as the level you want to become, would be:

Triffid Stings and Roc Rocks: 0.5 (n - x) (n + x + 1)

Phoenix Feathers and Crocodile Scales: (n - x) (n + x + 1)

Gold pieces: 250 (n - x) (n + x + 1)