Exploring, Construction & Building Formulas

This is part of the Utopia WIKI Formula Series.

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Exploration Costs

Soldier Cost

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Sol Costs for Exploration = ROUND((CurrentAcres * 0.0065) * Race Mod * War Effect)

Modifier Type	Active	Otherwise
War	2	1
Dark Elf	1.2	1

GC Costs

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GC Costs for Exploration = ((Current Acres * 3) - 500) * War Mod * Race Mod * Mills Effect

Modifier Type	Active	Otherwise
War	2	1
Dark Elf	1.2	1

Notes

• Generally all cases prove to be accurate to within minus 0gc - 30gc (Calculated costs slightly overestimate).
• Again way off at high numbers, could be split formula as well.

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	n.b. = 0.75 in prot
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

Building Efficiency = [0.5 * (Peasants + (Prisoners/2))] / [((2*Total Jobs)/3) + 1) * Science + Race + Stance - Dragon]

• NB. "Current Available Workers" given on the Internal Affairs Advisor page already takes the prisoners into account. So the number given there is "Peasants + Prisoners / 2".
• Workers Required for Maximum Effectiveness = 67% of Total Jobs filled
• Building Efficiency affects all Flat-Rate and Percentage-Based buildings.
• Building Efficiency has NO effect on Capacity buildings as well as Libraries.

Rate of Change of Building Efficiency = Formula

• Changes in Building Efficiency takes effect gradually.

Modifier Type	Active	Otherwise
Race: Dwarf	1.3	1
Stance: Peaceful	1.05	1
Dragon: Gold	0.8	1

Effects of Buildings

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.

		Building Type
		Capacity	Flat Rate	Percentage Based
Building	Description		Base	Base	Max	Living Space	Jobs
Barren Land	Houses 15 people & Produces 2 bushels per hour	15 pop	2 Bushels			15	0
Homes	Houses 15 people Increases Birth Rate	10 (Gnome), 8 (Others)		4%	100%	35 (Gnomes), 33 (Others)	0
Stables	Houses horses and increase their production rate	60 Horses	1 Horse/hr			25	25
Dungeons	Houses Prisoners of War	20 Prisoners				25	25
Forts	Increases Defensive Military Efficiency			1.5%	37.5%	25	25
Guardstations	Decrease Resource Losses when Attacked			2%	50%	25	25
Barracks	Lowers Attack Time			1.5%	37.5%	25	25
Hospitals	Daily Chance of Curing the Plague Decreases Military Losses			2% 3%	50% 75%	25	25
Guilds	Wizards Trained per day Guilds also increase the duration of your self + offensive spells, though exact effect is unknown			2%	50%	25	25
Libraries	Increase in Science Effect (Unaffected by BE)	2%				25	25
Thieves Dens	Lowers losses in Thievery Operations Bonus to TPA			4% 3%	100% 75%	25	25
Watchtowers	Chance of Catching Enemy Thieves Decrease in Thievery Damage			2% 3%	50% 75%	25	25
Schools	Decrease in Science Costs Protection of Books from Learns			1.5% 3.5%	37.5% 87.5%	25	25
Training Grounds	Increases Offensive Military Efficiency			1.5%	37.5%	25	25
Mills	Decreases Build Costs (Max of 99%) Decreases Exploration Costs			4% 3%	99% 75%	25	25
Banks	Produces $25 per day Increase in Income	$25 / hour		1.5%	37.5%	25	25
Armouries	Decreases Draft Costs Reduction of Wages Decreases Training Costs			2% 2% 1.5%	50% 50% 37.5%	25	25
Towers	Produces 12 runes per day		12 Runes / hour			25	25
Farms	Produces 70 bushels per day		70 Bushels / hour			25	25