Testing LoLMath Theories (Sup3r sh0cking conclusion)

Alright, this will probably be confusing as hell for most people but honestly if you don't like the numbers, just trust me and go read the *explanation* and *conclusion* parts :P. I was just trying some stuff that could MAYBE finally help me correctly compare Armor Pen vs AD and WHY they work the way they do and what is more effective in which situation... and it turns out I found some cool stuff. However, there is still mystery for me.
Case 1:
You: 200 AD, 0 Armor Pen
Target: 1000 HP, 100 Armor
Damage dealt: 100
Efective HP: 2000
Survival time: 10 seconds
Case 2:
You: 300 AD, 0 Armor Pen
Target: 1000 HP, 100 Armor
Damage dealt: 150
Effective HP: 2000
Survival time: 6.67 seconds (3.33 less, 33.33% less)
Case 3:
You: 200 AD, 66.66 Armor Pen
Target: 1000 HP, 100 Armor
Damage dealt: 150
Effective HP: 1333 (-666 EHP, 33% less)
Survival time: 6.67 seconds (-3.33 seconds, 33% less)
Explanation of Test 1: Here I just choose some (not so) random round numbers for my AD, my tar…
TEST 1:
Case 1:
You: 200 AD, 0 Armor Pen
Target: 1000 HP, 100 Armor
Damage dealt: 100
Efective HP: 2000
Survival time: 10 seconds
Case 2:
You: 300 AD, 0 Armor Pen
Target: 1000 HP, 100 Armor
Damage dealt: 150
Effective HP: 2000
Survival time: 6.67 seconds (3.33 less, 33.33% less)
Case 3:
You: 200 AD, 66.66 Armor Pen
Target: 1000 HP, 100 Armor
Damage dealt: 150
Effective HP: 1333 (-666 EHP, 33% less)
Survival time: 6.67 seconds (-3.33 seconds, 33% less)
Explanation of Test 1: Here I just choose some (not so) random round numbers for my AD, my tar…