Average Cost of Enchantment Chip

An accidental creation... my +9 Cinquedea! This one is upgraded from +0 straight to +9. This has a probability of... 50% x 25% x 12.5% x 6.25% x 3.125% = 0.00305%! This came from breaking Lv.40 daggers to sell chips.

The older entry Enchantment Chips: Buy Or Make? covered the topic of breaking daggers for enchantment chips. But if you are selling chips, you might want to know the average cost of making those chips to determine your profit. So what is the average cost of breaking a dagger for enchantment chip?

Let's say, we have 1,000 daggers for enhancement. On average, 50% of them (500/1,000) will break at +5. Out of the 500 remaining +5 daggers, 75% of them (375/500) will break at +6. Out of the 125 remaining +6 daggers, 87.5% of them (109/125) will break at +7. Out of the 16 remaining +7 daggers, 93.7% of them (15/16) will break at +8. The sole remaining +8 dagger has 96.9% chance of breaking at +9.

Now, let D be the cost of the dagger, and E be the cost of enhancing it by +1.

Average Cost = D + 0.5 x 5E + 0.375 x 6E + 0.109 x 7E + 0.015 x 8E + 0.001 x 9E

Using this formula, you will end up with this table for the average cost of enchantment chip:

Level	Avg. Cost	Level	Avg. Cost
32	4,891	56	82,534
36	7,336	60	146,726
40	11,004	64	195,635
44	19,564	68	299,566
48	30,568	72	427,952
52	48,909	76-84	383,656 + D

So in order to make a profit, you must sell the chips above the listed average cost.