First attempt:
45,000 BP for mines:
275 manned, 50 automated
12000 for 100 Construction factories (production is augmented by 6 Engineers)
14400 for 120 Supply Factories
1200 for 10 Ordnance Factories (that would be about 25 missiles a year)
14400 for 3 shipyards
Assuming 15,000 RP spent to get Improved Shipbuilding Rate 2, that allows 5040 BP for active fleet, same for mothballed fleet
Colony ships and troop transports would likely be mothballed. My reason for starting with 3 years of ship builds active is that would mean 20% of the shipyards, approximately, would be used for overhauling. That strikes me as a reasonable level for an NPR to maintain, long term.
For this exercise, total expenditure on the fleet is
10080 Average maintenance runs about 1000 Supply, so I am presuming at least Supply Production 1 to cover fleet + troop maintenance
4800 2 GFTF
4800 Naval Academy 2 (Important in order to get enough officers to get a decent Planetary Governor)
3600 Ground based sensor 3
or 110280 BP before research labs, ground troops, and defense installations
Ummm.
2400 for 20 Silos, 600 BP for about 200 missiles or so
24000 for 10 Research Labs, basically equal to the rest of the major ground installations
900 for 6 Engineers (or more)
800 for 4 HQ (or more)
150 Infantry/security division, 2 Inf, 1 sec
390 Assault division 2 Arm, 1 Ass Inf
Or 139520 BP so far
Lets see, GFTF train 100 points a year. Or 1,000 BP of ground troops per facility, by my set up rules. Okay, I am slightly overbudget on ground troops. Maybe an Infantry division and a security division, 4 inf, 2 sec total.
A shipyard with ISR-2 can consume resources equal to its cost in 9 years. A GFTF, training 100 points a year, would take 24 years to consume that much resources. Perhaps there should be a tech tree for increasing Ground Forces training rate?
Engineers are a more expensive option when you figure in the overhead needed to make them.
Ballparking it, mining production should be able to keep up with Shipyard and Construction needs at these ratios. Maybe a bit more mining and supply.
Assuming same TL, 325 mines with 120 supply + 112 construction+engineers + 3*40 for shipyards... runs pretty close. Assume mining tech is advanced one level more and get a mining bonus governor.