# User:Metallicanrana/Notes

## Smithing Mithril Bars at BF

${\displaystyle 470coins*{\frac {1M}{10^{6}coins}}=4.70*10^{-4}M}$ Scientific notation and significant figures aren't really needed nor is converting to millions.

${\displaystyle 40.000M*{\frac {1ore}{4.70*10^{-4}M}}\approx }$ 85,106 ${\displaystyle ore}$

• Thus, 85,106 Mithril ore and 170,212 coal are needed to produce ${\displaystyle 85,106}$ Mithril bars with the Blast Furnace.

### Profit off Mithril Bolts

• Budget: 40,000,000
• Cost:
• Feathers: 4 coins each (10 feathers per bar since each bar produces 10 bolts so 40 coins)
• Mithril ore: 180 coins each
• Coal: 145 coins each (2 coal per mithril for Blast Furnace so 290 coins)
• Total: 510 coins

${\displaystyle 510coins*{\frac {1M}{10^{6}coins}}=5.10*10^{-4}M}$ Scientific notation and significant figures aren't really needed nor is converting to millions.

${\displaystyle 40.000M*{\frac {1ore}{5.10*10^{-4}M}}\approx }$ 78,431 ${\displaystyle ore}$

• Thus, 78,431 feathers, 78,431 Mithril ore, and 156,862 coal are needed to produce ${\displaystyle 784,310}$ Mithril bolts worth 100 coins each.
• Profit: 78,431,000

## Determining Cost Efficiency

### Formula

• Use ${\displaystyle d={\frac {ac}{b}}}$ for determining the best item to use for spending the least amount of money.
• ${\displaystyle a}$ is the experience that the pricier item grants.
• ${\displaystyle b}$ is the amount of XP the cheaper item gives.
• ${\displaystyle c}$ is said item's (the cheaper item's) cost.
• ${\displaystyle d}$ determines the cost that the higher-priced item should be to make it worth using.
• If, however, ${\displaystyle d}$ exceeds the cost of item ${\displaystyle a}$ (the higher-priced item), then use ${\displaystyle d>{\frac {ac}{b}}}$, so item ${\displaystyle a}$ is better to use. Otherwise, ${\displaystyle d<{\frac {ac}{b}}}$ makes item ${\displaystyle b}$ (the lower-priced item) better!

### Problem

Metal wishes to achieve 99 Prayer for a Skillcape. He noticed that dragon bones are 2,000 coins each, and lava dragon bones are 2,100 coins each. When used on a fully-lit gilded altar, each item grants 252 experience and 297.5 experience respectively. Which of the two would be better to use price-wise?

• Let ${\displaystyle a=297.5}$
• Let ${\displaystyle b=252}$, and ${\displaystyle c=2000}$
• So, we now have ${\displaystyle {\frac {297.5*2000}{252}}=d}$
• And, we get ${\displaystyle d=}$ 2361.1111111111, which is about 2361, thus making the expression ${\displaystyle d\approx 2361.}$
• Since ${\displaystyle d>2100}$, use item ${\displaystyle a}$, which is lava dragon bones.
• In order to make dragon bones work, the following has to occur.

${\displaystyle {\frac {297.5c}{252}}=2100}$

${\displaystyle {\frac {252}{297.5}}\left({\frac {297.5c}{252}}\right)=2100\left({\frac {252}{297.5}}\right)}$

${\displaystyle c=2100\left({\frac {252}{297.5}}\right)\approx 1778.82}$

• So, ${\displaystyle c\approx 1778}$ in order for dragon bones to be feasible.

• ${\displaystyle {\frac {a}{b}}={\frac {d}{c}}}$

• So, ${\displaystyle {\frac {297.5}{252}}={\frac {2361.1111111111}{2000}}}$, which is 1.1805555555556 = 1.1805555555556.

Lava dragon bones would be better to use since dragon bones are worth more than 2,361 coins.

Alternatively, this can be figured out by taking the two and seeing how much each would cost from your current level to 99. From level 70, it's 48,797 dragon bones, which cost 97,594,000 coins compared to using 41,334 lava dragon bones costing only 86,801,400.

### Elusive Drops

Below is a table of some of the rarest and most sought-after drops in Old School RuneScape. Also, the kill count or number of kills required is based on a 90% probability of getting the drop.

Icon Item Dropping monster(s) Drop rate Kills
Dragon full helm Mithril dragon Very rare (1/32,768)[1] 75,450[1]
Dragon chainbody Dust devil, (Thermonuclear) Smoke devil, Kalphite Queen Very rare (1/32,768)[2][3] 75,450[2][3]
Wyvern visage Ancient, Long-tailed, Taloned, Spitting Wyverns Very rare (1/12,000)[4] 27,630[4]
Draconic visage (Brutal) Black, Iron, Steel, Lava, Mithril dragons, Skeletal Wyvern, King Black Dragon, Brutal blue dragon, Brutal red dragon Very rare (1/10,000)[5] 23,025[5]
Dragon warhammer Lizardman shaman Very rare (1/5,000) 11,512
Elysian sigil Corporeal Beast Very rare (1/4,095) 9,428
Arcane sigil Corporeal Beast Very rare (1/1,365) 3,142
Spectral sigil Corporeal Beast Very rare (1/1,365) 3,142
Dragon pickaxe King Black Dragon, Chaos Elemental, Callisto, Venenatis, Vet'ion Very rare (1/1,500)[6] 3,453[6]
1. 1/250 from chewed bones (and 574 bones for 90% chance)
2. 1/2,000 from Thermonuclear smoke devil (and 4,604 kills for 90% chance)
3. 1/128 from Kalphite Queen (and 294 kills for 90% chance)
4. 1/10,000 from Ancient Wyvern (and 23,025 kills for 90% chance)
5. 1/5,000 from King Black Dragon (and 11,512 kills for 90% chance)
6. 1/1,500 from King Black Dragon only (3,453 kills for 90% chance) and 1/256 from other Wilderness bosses (588 kills for 90% chance)

## Farming Herbs

Below is a table depicting profitability in farming some herbs. Profit is assumed by harvesting and cleaning six herbs. Along with the price of the seed, Ultracompost (738) is deducted as cost.

Herb Seed Price Herb Price Profit
Ranarr weed 42,519 7,187 -135