Hi,

Here is how I calculated my goal BPT based on my final Land goal:
(I don't claim correctness nor innovation, however this might give a rough idea for those who care ;))

Let X1 = # of CS built
Let X2 = # of turns spent building

Total turns spent (TS) = X1 + X2

TS = #CS + (Land Goal / (CS/4 + 5))
The idea is to minimize the amount of turns spent building on your land goal. The assumption is that you will build most of ur CSs early on (and most people do!)

I dont know how popular 100CS build on first 100 turns is, but believe it or not, at some point people did that ;)

So taking the derivative and setting it equal to 0, you will minimize the amounts of turns spent building on your land goal.

In the end, you get:

# of CS you need to build equals:
2*sqrt(Land Goal) - 20

Example:
If you want to end up with 20,000 acres, you need to build:
2*sqrt(20000) - 20 = ~ 260 CS or roughly 70BPT

That is correct.

However, I find that sqrt(land goal / 4 * govtbonus) is easier to remember for your BPT goal. That is, sqrt(20000 / 4) is equal to 70.7 BPT.

Same answer, just differentiating with respect to BPT instead of Turns.

However, keep in mind, the "land goal" isn't really correct. It should be "remaining acres to build for rest of the reset" that should be used in the formula.

Yes, of course.

The optimal decision around BPT varies quite a bit, such as when you get grabbed, or whatever. Sometimes it's better to rebuild the CS you've lost to get the BPT where it used to be, sometimes not.

Some people go over their optimal BPT because they have no other way of spending turns (e.g. Do I cash? or build a CS?)

Rarely, cashing is generally better ever since the new construction costs formula. TMBR is an obsolete strategy unless you're only 15k in land size.

However, keep in mind, the "land goal" isn't really correct. It should be "remaining acres to build for rest of the reset" that should be used in the formula.

So is more not better? I do it backwards and have a bpt target (100) instead of land target (though always over 10K acres). Usually playing commie/indy, theo techer, or rep casher if that matters.

I do it more faster rebuild if under attack and faster building when I all-x batch.

more is not better since building cs's doesan't increase your production (i used to use 120 bpt for my techers (theos) but lately i've get it to 90 bpt).

Thanks, Marshal.

Thanks, this is very useful!