Construction analysis

[Slick]

Ok, you have just colonized that huge breathable and intend to make it a research planet (25 facilities). You intend to build 24 Research Facility III's (700 research points each) and 1 Central Computer Complex III (+30% to existing facilities; each RF III now makes 910 rp).

What is the most efficient way to build?
Do you build 24 RF's and THEN build the computer? or the other way around? or is the best way to build the computer somewhere in the middle of the queue?

There are 2 competing motivations: 1) get the max output at time-now (this one suggests that you should build the computer complex first), 2) get the max total research points possible (this one suggests you should build the computer complex Last).

Being an engineer and remembering those old max/min problems from high school calculus (20 years ago), this really bothered me and I just HAD to figure this out sooner or later. I had this FEELING that the right time to build the computer complex was somewhere in the middle of the queue. So I did some calculations and testing.

Given/assumptions:
base construction rate: 2000 Minerals, 2000 Organics, 2000 Radioactives per turn (settings.txt)
cost of RF III: 2500 M, 0 O, 0 R (facility.txt)
cost of CCC III: 12000 M, 0 O, 3000 R (facility.txt)
planet is in a secure area so don't factor in defense concerns
Emergency build is available, rules in settings.txt

I bet some of you have already done this, and the answer may be obvious to you, but I had to prove it to myself.

Before I post my results, I would like to hear your thoughts on this *evil grin*

Slick