Exploring, Construction & Building Formulas

This is part of the Utopia WIKI Formula Series.

THIS PAGE attempts to list formulas as relevant to Exploring, Construction & Building Formulas. If you would like to add a new formula feel free to include it within the text. Ensure that you check the discussions page for Exploring, Construction & Building Formulas to ensure that this formula is not under discussion/research, or contribute your research there if you do feel so inclined.

Exploration Costs

Soldier Cost

( CurrentAcres * 2/5 + Explored Mod * 1 / 4 + 75 ) / 67 * Race Mod * War Effect

• Explored Mod = Total Land Explored - Total Land Lost in Combat - Currently Exploring
• note: Explored Mod most be higher than 0 else it is 0

Modifier Type	Active	Otherwise
War	2	1
Dark Elf	1.2	1

GC Costs

( 3.16 * Current Acres - 17.4 * SQRT( Current Acres ) - 50 + Explored Mod ) * War Mod * Race Mod * Mills Effect

• Explored Mod = Total Land Explored - Total Land Lost in Combat - Currently Exploring
• if Explored Mod is higher than 0 then the value is ???? (still in research) else it is 0

Modifier Type	Active	Otherwise
War	2	1
Dark Elf	1.2	1

Construction

Construction Time

Construction Time = 22 * Personality Mod * Builders Boon * Double Speed * Fortified

Modifier Type	Active	Otherwise
Pers: Shepherd	0.7	1
Builders Boon	0.9	1
Double Speed	0.5	1
Double Speed in Protection	0.75	1
Fortified	0.8	1

Construction Costs

Construction Costs = Race Mod * Mills Mod * Double Speed * 8/31 * (Land + 2900) 

Modifier Type	Active	Otherwise
Race: Dwarf	0	1
Doublespeed	2	1

Raze Costs

Raze Costs = (1400 + Land) / 4

Buildings

Building Efficiency

Available Workers         =  Peasants + (Prisoners / 2)
Optimal Workers           =  FLOOR(Total Jobs * .67)
% Jobs Performed          =  MIN(Available Workers / Optimal Workers, 1)
Building Efficiency       =  0.5 * (1 + % Jobs Performed) * Science + Race + Stance - Dragon

• The "Current Available Workers" value, provided by the Internal Affairs Adviser page, already takes prisoners into account.
• Building Efficiency affects all Flat-Rate and Percentage-Based buildings.
• Building Efficiency has NO effect on Capacity Buildings as well as Libraries.

Building Efficiency Change Rate  =  Formula

• Changes in Building Efficiency take effect gradually.

Modifier Type	Active	Otherwise
Race: Dwarf	0.3	0
Stance: Peaceful	0.05	0
Dragon: Gold	0.2	0

Building Effects

Percentage Based Buildings = Base Effect * BE * % of building * (1 - % of building)


Flat Rate Buildings = Base Effect * Number of Buildings * BE * Monarchy Bonus * Science

• Max Effect of a %-Based Building is 25 x Base Effect.
• With a 100% Building Efficiency, this is equivalent to building 50% of that building.

Build Table

Building	Capacity	Flat Rate Base	Percent Min	Percent Max	Living Space	Jobs	Description
Barren Lands	15 People	2 Bushels			15	0	Houses 15 people and Produces 2 bushels per hour
Homes	8 People		4%	100%	33	0	Houses 15 people and Increases Birth Rate
Stables	60 Horses	1 Horse			25	25	Houses horses and increase their production rate
Dungeons	20 Prisoners				25	25	Houses Prisoners of War
Forts			1.5%	37.5%	25	25	Increases Defensive Military Efficiency
Guard Stations			2%	50%	25	25	Decrease Resource Losses when Attacked
Barracks			1.5%	37.5%	25	25	Lowers Attack Time
Hospitals			2% 3%	50% 75%	25	25	Daily Chance of Curing the Plague Decreases Military Losses
Guilds			2%	50%	25	25	Wizards Trained per day Guilds also increase spell duration
Libraries		2%			25	25	Increase in Science Effect (Unaffected by BE)
Thieves Dens			4% 3%	100% 75%	25	25	Lowers losses in Thievery Operations Bonus to TPA
Watchtowers			2% 3%	50% 75%	25	25	Chance of Catching Enemy Thieves Decrease in Thievery Damage
Schools			1.5% 3.5%	37.5% 87.5%	25	25	Decrease in Science Costs Protection of Books from Learns
Training Grounds			1.5%	37.5%	25	25	Increases Offensive Military Efficiency
Mills			4% 3%	99% 75%	25	25	Decreases Build Costs (Max of 99%) Decreases Exploration Costs
Banks		25gc	1.25%	37.5%	25	25	Produces 25gc per day Increase in Income
Armouries			1.5% 2% 1.5%	50% 50% 37.5%	25	25	Decreases Draft Costs Reduction of Wages Decreases Training Costs
Towers		12 Runes			25	25	Produces 12 runes per day
Farms		70 Bushels / hour			25	25	Produces 70 bushels per day
Building	Capacity	Flat Rate Base	Percent Min	Percent Max	Living Space	Jobs	Description