Pricing

The selling price of a potion is determined by as the product of its base price (determined by the effects and their tiers), the fulfilled additional requests, the Talent Point bonus and the Popularity bonus. Prices are allways rounded down.
== Base Price==
The potions base price is determined by the sum of the base prices of the requested effects each with a multiplier based on their tiers: 1 for tier I (effects base price); 1.75 for tier II; and 2.5 for tier III. An effects tier is reduced by one for each tier of an incompatible effect.
Example 1: Requested effects: Healing, Wild Growth
\begin{align} 
\text{Healing III, Wild Growth II} &= \text{Tier}\ 3\times \text{Baseprice Healing} +\ \text{Tier}\ 2\times \text{Baseprice Wild Growth} \\
 &= 2,5 \times 10 + 1,5 \times 33 \\
 &= 25 + 49,5 \\
 &= 74,5
\end{align}
Example 2: Requested effects: Healing (incompatible with Poison)
\begin{align} 
\text{Healing III, Poison I} &= \text{Tier}\ (3-1)\times \text{Baseprice Healing} \\
 &= 1,5\times 10 \\
 &= 15
\end{align}
Example 3: Requested effects: Healing, Wild Growth (only Wild Growth is incompatible with Stone Skin)
\begin{align} 
\text{Healing III, Wild Growth I, Stone Skin I} &= \text{Tier}\ 3\times \text{Baseprice Healing} +\ \text{Tier} (1-1)\times \text{Baseprice Wild Growth} \\
 &= 2,5 \times 10 + 0 \times 33 \\
 &= 25
\end{align}
Note: An effects base price can be found on the individual effects site. These base prices need to be devided by 10 to get the actual price.
== Additional Requests==
Together with the request, customers can issue additional requests. Fullfilled additional requests affect the potions price and the received Popularity points upon selling the potion. For each fulfilled additional request, the potions price is multiplied with a multiplicator, that depends on the additional request. Additional requests can be optional (coloured green) or mandatory (coloured red). There can be at most two optional and at most two mandatory additional request per request. 
Additional Request	Price Multiplicator	Additionaal Popularity Points
Optional:
*A weak potion would suit me best. I'm willing to pay handsomely.
Mandatory:
*This situation calls for finesse, so the potion's effect should be weak.	1,2 	1
Optional: 
*The potion's quality is important to me. I'm willing to pay handsomely.
*I need your strongest potion. I'm prepared to pay handsomely.
*Oh, and don't give me any of your weak potions. I need the best, and I'm willing to pay handsomely.
Mandatory: 
* I need only your strongest potions.
*I need a high-quality potion.
* I need your best potion.
*Only a strong potion will work here.
Tips:
*Potion must contain a requested Tier 3 effect.
*Incompatible effects do not lower the Tier of an Effect in this regard.	1,5 	1
Optional: 
*Please don't use more than X type of ingredient in the potion if possible.
*Please don't add more than X type of ingredient if you can.
*I'll pay extra for a potion made from X types of ingredients. No more.
Mandatory
* Use no more than X types of ingredients in the potion.
*Don't add more than X type of ingredient.
Tips:
*Salt does not count as an ingredient. You can use a single ingredient with a relatively straigt trajectory	
\begin{align}
X=1 &\Rightarrow 3 \\
X=2 &\Rightarrow 2 \\
X=3 &\Rightarrow 1,5
\end{align}	
\begin{align}
X=1 &\Rightarrow 2 \\
X=2 &\Rightarrow 1 \\
X=3 &\Rightarrow 1
\end{align}
Optional: 
*X is my favorite ingredient. I'll pay extra for a potion that has at least a little X in it.
Mandatory: 
*And add this to the potion: X. I like the way it smells.	1,5 	1
Optional: 
*I heard that this kind of potion comes out best if you add more of these ingredients: X. I'll pay extra if the potion is made from them.
* I'll pay extra if the potion has a specific main ingredient: X. I like the way it smells.
*X - I'll pay extra if this igredient is the main ingredient in this potion.
Mandatory: 
*They say the best ingredient for this kind of potion is: X. Add a lot.
Tips:
*The given ingredient must make up half of the ingredients in numbers. E.g. 5 of X and 2 Y and 3 Z is fine.
*Salt does not count as an ingredient.	2 	1
Optional:
*I'll pay extra if the potion doesn't have this ingredient: X.
*I'm allergic to this ingredient: X. Coud you please not put any in the potion?
*X is so gross. Don't put any in the potion, and I'll pay extra.	1,5 	1
Optional: 
*One effect isn't enough for me. I'll pay extra for additional effects.
*I'll pay extra for a potion with multiple effects.
*I'll pay extra if the potion has some suitable additional properties.
Mandatory:
* I want a potion with multiple effects.
Tips:
*Incompatible effects are not accepted.
*It does not matter if the effects are requested or not.
*More effects beat higher tiers. E.g. having one requested effect and 4 additional effect give a times 5 multiplicator, which is more, than having the requested effect tier 3 and 2 additional effects which gives a multiplicator of 2,5\times 1,5 = 4,75.	
\begin{align}
2\ \text{Effects} &\Rightarrow 1,25 \\
3\ \text{Effects} &\Rightarrow 1,5 \\
4\ \text{Effects} &\Rightarrow 2,5 \\
5\ \text{Effects} &\Rightarrow 5
\end{align}	
\begin{align}
2\ \text{Effects} &\Rightarrow 1 \\
3\ \text{Effects} &\Rightarrow 2 \\
4\ \text{Effects} &\Rightarrow 2 \\
5\ \text{Effects} &\Rightarrow 4
\end{align}
Optional:
*I'll pay more if the potion is made using this base: X.	2 	1
Optional:
*I've heard that having a lot of salt in potions is very harmful! I'll pay extra if the potion doesn't contain them.	1.5 	1
==Merchant Prices==
Category:Merchants
Prices for merchants are calcualted differently from prices for customers and don't consider the popularity bonus. The buying and selling prices are calculated as:
\begin{align}
\text{Buying Price} & = \text{Base Price}\times \frac{4}{\text{Talent Bonus}} \\ 
 & \\
\text{Selling Price} & = \text{Base Price}\times \frac{ \text{Talent Bonus}}{4}
\end{align}
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