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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.

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