Building objects

I have 8 colonies, 3 of them have a factories, and 2 of them have Orbital Shipyard.
My rank of Advanced Shipyard is 3.
Colony with factories gives me 10 objects.
Colony with Orbital Shipyard gives me plus 10 objects.
And each rank of Advanced Shipyard gives me plus 10 objects.

If we adding all objects i must have 3x10+2x10+3x10=80 objects.

Or if my another counting is correct i must have {[3(colonies with factories)x10]x3(AdvShipyard)}+{[2(OrbShipyard)x10]x3(AdvShipyard)}=150 objects to building.

But i have only 90 objects :(

Maybe i don't understand something?

I'm pretty sure it works like this. You get 10 objects to start. A shipyard gives you 10 objects, and each shipyard gives 10 more per rank up of advanced shipyards. So you have advanced shipyards rank 3 (40 objects per yard) which means you get 10+2X10X4=90 objects. Colonies give you no additional objects without a shipyard.

Now i have 4 rank AdvShipyard, so 10+2x10x5=110 objects. And i'm really have 110 objects :) Thank you!

But now i have 28 orbital shipyards and 4 rank advShipyard and i must have 10+28x10x5=1410 objects, but the game show me only 510 objects. WTF?

I'm having the same problem I have 36 ish shipyards at rank 9 and I only get 820 ships??

Only the first 10 shipyards increase your max object count, any after that are only to allow you to build stuff from the colony that require shipyards to build.