I like spreadsheets. I have one for LoL that calculates item value based on relative items and variables I input.

I recently input the variables to see Jax's top ranked items. Not surprisingly, a fully stacked Rageblade was near the top of the list. But even better than that? Half-stacked Mejai's Soulstealer. Right after that, Zhonya's Ring (with nothing else AP).

Here's some of the math and the top 20 items:

Everything is evaluated based on a basic item or a commonly accepted "good" item. For instance, AP is evaluated as 860/40, the gold paid per point of a Blasting Wand. Health is evaluated as 1150/430 (Giant's Belt). So, accounting for all of the item's properties but giving bonus 3*(1150/430)+(860/40) for AP and 5*(1150/430)+(1850/50) for AD, here are Jax's top items:

__Value Ranking__

1 Mejai's Soulstealer (20)

2 Madred's Bloodrazor (4k)

3 Sword of the Occult (20)

4 Atma's Impaler (4k)

5 Warmog's Armor (full)

6 Guinsoo's Rageblade (8)

7 Archangel's Staff (4k)

8 Bloodthirster (40)

9 Sword of the Occult (10)

10 Rod of Ages (full)

11 Mejai's Soulstealer (half)

12 Bloodthirster (30)

13 Sword of the Occult (5)

14 Zhonya's Ring (120)

15 Archangel's Staff (2k)

16 Infinity Edge (150)

17 Archangel's Staff (1.7k)

18 Bloodthirster (20)

19 Sword of the Divine

20 Infinity Edge (50)

NOTE: This ranking assumes that all game abilities are appropriately valued (by the designers) and their cost reflects that value. This will maximize gold value (not game value) given Jax's abilities.

__DPS Ranking__

1 Madred's Bloodrazor (4k)

2 Bloodthirster (40)

3 Infinity Edge (150)

4 Madred's Bloodrazor (1.7k)

5 Infinity Edge (50)

6 Bloodthirster (30)

7 Atma's Impaler (4k)

8 Bloodthirster (20)

9 The Black Cleaver

10 Bloodthirster (10)

11 Sword of the Divine

12 Bloodthirster (5) - has the same value as a stacked BF Sword

13 Sword of the Occult (20)

14 The Bloodthirster

15 Guinsoo's Rageblade (8)

16 B.F. Sword

17 Atma's Impaler (2k)

18 Sword of the Occult (10)

19 Tiamat

20 Last Whisper (probably higher based on target armor)

This ranking does not calculate AP or powers into the equation (or Jax's passive ult) and varies slightly with level and base damage from other items, runes, and masteries (crits and armor pen). I did not try to account for armor pen so Last Whisper and Brutalizer may be under-valued.

**AP Rankings**

1 Mejai's Soulstealer (20)

2 Guinsoo's Rageblade (8)

3 Archangel's Staff (4k) - needs testing, not sure if Jax can reach 4k mana

4 Rod of Ages (full)

5 Mejai's Soulstealer (half)

6 Zhonya's Ring (120)

7 Archangel's Staff (1.7k)

8 Zhonya's Ring

9 Guinsoo's Rageblade

10 Trinity Force

11 The Black Cleaver

12 Abyssal Scepter

13 Archangel's Staff

14 Nashor's Tooth

15 Rylai's Scepter

16 Doran's ring

17 Blasting Wand

18 Rod of Ages

19 Lich Bane

20 Amplifying Tome

NOTE: This is the same value calculation as the value rankings but filtered for only +AP items.

Please provide some ideas for calculating AP-based burst damage scenarios. Right now I'm thinking of Q + E + W damage maybe with an auto attack or 2 to see if a mix of DPS and AP works better than straight.