So we talking the importance of growing cities, which
would seem like a valid strategy a priori.
Let's discard for a moment

,

,

and such bizarre stuff
Now the city is a
hammer producing machine (

is the input, while

is the output).
For the sake of the exercise, let's imagine that 1

= 1

!
Hypothesis #1 : city does not whip.
every turn you put

in the machine and the city does
not grow, the

is wasted : no

gain

But when the city grows, you could be working an extra brown mine (+4

)
So hurray ! Growth has made my city machine spit out an extra +4

/ turn

I had to invest quite a few

in the machine though... 22

if the city was size one to begin with.
How many turns does it take for the investment to pay back ?
- If we could pay cash for the 22

, then It'd be 5,5 turn payback time (=22/4 because 1

=1

)
Unfortunately there is no sushi and we need to grow like a real size 1 city.
- If the city is growing on an oasis (+3

per turn), it will take 8 turns to grow to size 2 and work that shiny brown mine. So 8 turns investing food + 5,5 turns payback...
14 turns (rounded up obviously) before cash-in.
- If the city is growing on a wet-corn (+6

per turn), it will take 4 turns to grow to size 2
10 turns before cash in.
Hypothesis #2 : city can whip. Grows on a monument.
when the city reaches size 2, it can whip the monument for an instant 30

gain, which is more than the investment (22

). Instant payback!
- Oasis case :
8 turns before cash-in
- Wet corn case :
4 turns.
So. Yeah, if you like your hammers slow :
- Don't grow too fast
- Don't whip
