**Please note that this is an analysis to determine whether Black Cleaver or Last Whisper & Zeal is better as an armor penetration/reduction item set. The governing statistics will be how many attacks it takes to break even, and how much total damage is dealt at various armor values.**

Attempting to calculate DPS between the two concepts is nearly impossible since it depends on the champion being used as well as which abilities/buffs they might have applied at the time. DPS is a mis-leading statistic anyway, since many champions who would want these builds have physical damage abilities in addition to their auto-attacks.

Some important things to note when viewing the analysis...

1) Damage output from champion abilities have not been considered in this analysis.

2) Base AD of 120 was used for the champion AD stat

3) Auto attacks are assumed to be un-modified by champion passive abilities (Ashe, Twisted Fate, etc.)

4) Infinity Edge is assumed to be in the attacking champion's inventory.

5) Armor Pen Marks and Quints are assumed, as well as the Armor Pen mastery

6) Critical Chance, Attack Damage, Critical Bonus Damage, and % of base AD masteries are all assumed to be in use.

7) Last Whisper and Zeal cost 3485g and Black Cleaver cost 3065g (13.70% difference)

8) Calculations were made based on 4 consecutive attacks so BC stacks could get to maximum.

Quote:

__Findings__

The break even point is the first attack at which BC deals more average damage per attack than LWZ.

Percentage difference in total damage dealt after 4 attacks

__At 50 target armor__

Break Even = **2nd **Attack

BC deals **0.50%** more total damage than LWZ

__At 75 target armor__

Break Even = **3rd **Attack

BC deals **0.37% **more total damage than LWZ

__At 100 target armor__

Break Even = **4th **Attack

LWZ deals **7.75%** more total damage than BC

__At 200 target armor__

BC **never **breaks even on single attack average damage

LWZ deals **28.36%** more total damage than BC

I believe that the results above indicate that the following would be the most efficient use of funds:

Quote:

1) If your target has less than 75 armor, you should buy a Brutalizer to meet your armor penetration needs.

2) If your target has 100 or more armor, Black Cleaver takes too long to break even when compared to Last Whisper and Zeal.

Conclusion - Use Brutalizer and/or Ghostblade to meet your armor pen needs when targets have 75 or less armor. Use LWZ to penetrate target armor that exceeds 75. The reason that BC shouldn't be chosen for its armor reduction stacking is because it's window of efficiency is only between about 50 and 75 armor for the target...this window is simply too small to justify spending 3065 gold on without the upward potential you get from LWZ in the form of upgrading to PD and increasing Apen from % penetration instead of flat reduction.

I would love to hear any thoughts the community might have!

Happy Summoning!

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