Why does this only cost 950 gold?

The combine cost for is 950 gold.

Compared to the base items and it provides +25 AD +200 HP +10% CDR Which is rather easy to calculate the gold values. Those stats alone are worth 1,677 gold, which is understandable because generally stats get cheaper on higher tier items.

However, that's before you put a price on 30% armor shred, and extending the bonus 20 MS of phage to all physical damage(from auto only) and the bonus 60 movespeed to all assists (from kills only). The 30% armor shed scales with enemy investment, so if the enemy buys say then the 50 armor costs him about 1,000 gold. Shredding 30% of that reduces gives the armor pen an effective 300 gold value. (brings it up to 1,977)

The extension of MS change is rather tricky to quantify, but it is blatantly worth something. In light of this, let's just call it X.

So the gold value of BC's combine cost is 1,977g + Xg.

Though, i'm curious how does this compare to other items? How much more gold efficient do they become for being higher tier? To do this i'll use the equation. 950 = (1,977 + X)*t, where 't' is the efficiency multiplier. Solving for 't', t = cost / (effective value) or 1/t = (effective value) / cost. [this makes the multiplier > 1]

Let's use an item of about the same price, but easier to approximate. Using the same method, combining and costs 700 it provides

• 25 armor
• 150 mana
• 10% CDR Those stats are worth 777 gold. Now the attack speed slow, of 15%, against (picked because it's about the average bonus atk spd), would give an effective value of 131g. So before the application changes of the atk spd slow, it's combine value is 908g. The change in application also can't easily have a value attached so i'll refer to that as Y.

The 't' value for frozen heart, let's consider 'Y' negligible for now (i'll do the same for BC). t = 700 / (908) = 0.7709

The 't' value for Black Cleaver, considering 'X' to be negligible. t = 950 / (1,977) = 0.4805

Really, this multiplier is inversely related to efficiency, where the lower the value is the more efficient the item. Taking the inverse of the values you get... FH = 1.297 BC = 2.081 Meaning, BC has a 365% higher efficiency multiplier than FH, before you factor in those dismissed X and Y values.

However, to avoid making this wall even larger, and doing through a long inference proof, just consider this. In order to make FH's multiplier equal to BC's, the changes in the effect would have to be worth 549g (assuming BC's was worth nothing) in order to bring the efficiency multiplier up to that of BC's.

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Basically, BC is broken as fuck and no stat redistribution, of what was effectively 83g, is going to do shit about fixing the item. Reasonable solutions would be changing the "physical damage" to "on auto attacks" or removing the a substantial amount of all the bonus stats provided from the combining of the base items.

So again, why does this all only cost 950g???