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Builders go brrr - Faster Building Houses Worth It?

Age of Empires III: Definitive Edition

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The british team card "Faster Building houses" reduces the building time of your and your teammates houses by 90%. How much Value can you get out of that card? And how does that card compare to virginia Company?

00:00 - Intro
00:20 - Methodology
1:55 - Value for different civs
3:20 - Full Houseboom Value
3:50 - Faster House Building VS VC
4:25 - Summary

There are 2 way where this card can give you value:
1) First when your Villagers spends less time building the House and can go back to gather ressources earlier.
2) The Value the house itself is creating. In the case of Britons, that means the Villager is out 18 seconds earlier. For inca, japanese and sweden that means the house itself can gather ressources earlier.

The way i look at it is to ask the question: What is the maximum Value you can get, if you could reduce the build time of a house to zero? (Cheat code: speed always wins)
A kancha house takes 15 seconds to build. If the house is built immediatly your construction villager can go back hunting AND the Kancha house can work for 15 seconds. 
In our case that means:
PotentialValue = 
(BuildTime * GatherRateVill) + (BuildTime * GatherRateHouse)
= 15 s * 0.84 food/s + 15 s * 0.6 food/s =
21.6 food

The Building time is only reduced by 90 %, that means the value of the card equals:
RealValue = 
PotentialValue * BuildTimeReduction =
21.6 food * 0.9 =
19.44 food

Now that we have established the methodology lets look at other houses:
Generic houses, Inca houses, british Manor houses, swedish torps and Japanese shrines. For Shrines I assumed that you use Monks to build them around 4 hunts. For Torps i assumed you build them near a mine. (see the next Diagram, pause if interested.)

Lets look at the Results now:
Saved Villagerseconds = Bigger component.
Britons do benefit the most from faster building houses, followed by inca & Sweden. Since Japanese use monks to build shrines, they do not benefit much from faster building houses, even less than normal civilisations. When sending the card, britons profit for around 30 food when building houses, sweden & Inca do get around 20 ressources more than without the card.

How much ress do you get when you build all your houses?
Since you have to build your first house before sending the first card, i assumed you still have to build 19 houses with all civs except inca, who only need to build 12 houses.
So when sending the card and housebooming, you'll get around 600 ress as britons and 400 with sweden.

Quick comparison to Virginia Company:
If you use the extra villagerseconds you get by faster house building to chop wood, you can chop 18 extra wood per house.
Virginia Company saves you 38 wood per house.
That means for a Full houseboom you'll have extra 342 Wood with faster building houses and 722 extra wood with virginia company.

Summary:
Britons do benefit the most from the team faster houses cards, after that sweden and inca.
Per house you build you'll have 30 extra food for britons and 20 extra food/ress for inca/sweden.
Faster Building houses is worse than Virginia Company, Virginia Company giving almost double the value.
The Card might be worth a try in teams with a swedish, british or an incan ally.

Patch: April 2021

Age of Empires III: Definitive Edition© Microsoft Corporation. This Video was created under Microsoft's "Game Content Usage Rules" ( https://www.xbox.com/en-US/developers/rules ) using assets from Age of Empires III: Definitive Edition, and it is not endorsed by or affiliated with Microsoft.

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