Again, a lot of variables.
The history of the nation will have a huge impact on all three of these things;
It may not need a military. If it is a true corporate state, it could technically exist in the middle of any number of other sovereign states. The citizens are also citizens of other countries who just happen to work for said mega-corporation. If it is itself a true sovereignty, is it an aggressive one? And then there is the question of education, which ties into military.
Dumb People Fight Wars.
Period.
There is a difference between being prepared to defend yourself, and being prepared to invade someone else. Smart people take the long view; Ultimately, an inefficient economic or political system will destroy itself while a more efficient and effective system will sustain itself. So, if your proposed nation values highly educated people, it will likely have a potent but small military that is suited for defense with some kind of backup plan for the occasional Hitler scenario. If it is run by dumb people, it will likely have a large, unwieldy military that has a large role in society.
Now, an effective corporate leadership team will go with the first option; The expense of maintaining the military will be balanced against what it gains the nation, both tangibly and intangibly. But let's just put it this way; MBAs are not generally very good with the idea of intangibles. They want hard numbers and tend to ignore what cannot be precisely quantified. Witness IT spending; Many companies cut their IT departments because they do not seem to be 'producing' anything. This leads to inefficient business practices as their IT infrastructure (which is very important in the modern world) is sub-par to non-existent. But because it cannot be precisely quantified, the MBA-type will see it as unimportant. Until their laptop stops working (because they were surfing porn at work).
So, what is the education like? And what is the source? If the nation exists alongside others (Like in Jennifer Government!) then the education may come from outside. If it's internal, is it driven by an ideology? If so, what?
All of these questions and their answers will have knock-on effects to other parts of the nation and to it's history. So. Variable. History. That's where I would start.
Japan's original military buildup and industrialization caused massive debt; in the 1910s, 20s, and 30s the country had significant debt and at various points virtually exhausted its credit. It was incredibly expensive for the country to catch up to the European powers.
