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Farming

1,037 bytes removed, 16:55, 13 February 2021
→‎Complete Formula: update formulas, remove analysis that's outdated with 1.5 changes
====Complete Formula====
The probability that a crop's quality increases is linear with respect to your farming level and the soil fertilizer quality (0 for normal soil, 1 for [[Basic Fertilizer]], 2 for [[Quality Fertilizer]], and 3 for [[Deluxe Fertilizer]]). That is, the probability increases the same amount with each level for the same fertilizer quality, and with each fertilizer quality for the same farming level. The formulas used in the game's code is as follows: {|class="mw-collapsible mw-collapsedwikitable"
|-
!style="text-align: left;"|Details quality! formula
|-
| The probability that a crop is gold quality is linear with respect to both | <code>0.2 * (farming level and fertilizer quality/ 10) + 0. That is, the probability increases the same amount with each level for the same 2(fertilizer quality, and with each fertilizer quality for the same level) * ((farming level+ 2) / 12) + 0. The formula used in the game's 01</code>|-| silver| <code>2 * chance for gold quality</code> (capped at 75%)|-| iridium| <code>chance for gold quality / 2</code is as follows:>|}
<code>P(gold) = 0.01 + 0.2 * (lvl/10 + q * (lvl+2)/12)</code> where '''lvl''' is your farming level and '''q''' is It checks them in the fertilizer quality. The game assigns a value of 0 for normal soilorder iridium, 1 for basic fertilizergold, and 2 for quality fertilizer. You can rewrite it to isolate either '''lvl''' or '''q''' as the 'independent' variable: <code>P(gold) = (1+2*lvl)/100 + q * (lvl+2)/60</code><br/><code>P(gold) = (3+10*q)/300 + lvl * (6+5*q)/300</code> The probability that a crop is silver quality (given that it isn't gold) is actually twice the probability that it was gold quality, but capped at 75%. That is: <code>P(silver | not gold) = MIN(2*P(gold), 0.75)</code> But because sometimes If the crop ''fertilizer is'' gold qualitydeluxe or better, the true probability that the crop is then silver quality is a little bit less: <code>P(silver) = MIN(2*P(gold),0.75) * (1-P(gold))</code> You can actually see the 75% cap at work in the table above, if indirectly: notice that the probability of a silver crop actually goes down once the probability of a gold crop crosses the 37.5% threshold. Finally, the probability that a crop is normal quality is the same as the probability that the crop is neither silver nor gold guaranteed minimum quality. Since it can't be both silver or gold, the formula simplifies to: <code>P(normal) = 1 - P(silver) - P(gold)</code> The average price of the crop is the sum of the probabilities, weighted by the relative price of each type of crop: <code>1*P(normal) + 1.25*P(silver) + 1.5*P(gold)</code>|}
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