@@=innonimatu
Yes, marginal costs equals marginal revenue, perfect competition, etc, is the standard formula for the behavior of firms. And what lies behind that? An assumption of rising marginal costs, after some minimum. In the real world there is no such minimum, any given industry can produce a larger number of units cheaper.
Inno, I am fairly certain that your conjecture here is false. You're assuming that there are economies to scale across every industry, which isn't simply true. A simple example is the concrete industry. Further, as an industry grows in relative size and scope it must bid labor away from other industry, thus increasing the cost of labor.
If you are talking about a huge industry (an whole industrial sector, for example the concrete industry as a whole), then that is true. But out goes "perfect competition" and out goes the independence of supply and demand - if they influence the market enough to change labor costs they'll also shift demand (and not even only for their product but for all products). And this means you can no longer calculate marginal returns and solve the MR = MI equation.
You'd violate other fundamental conditions of the standard model of the firm.
By the way, the concrete industry (I assume you mean cement) is
slightly limited by costs of transportation only (both of raw materials and products). And I stress slightly as it's common to ship cement across large distances (Turkey to France is common). And even clinker across the Atlantic. They don't really have increasing marginal costs, they have difficulties selling the product past a regional market of a few thousand kilometers.
They can still monopolize that regional market with no problem, always with falling marginal costs.
A industry that consumes more power relative to others will face a higher cost of power at some point. These mechanisms work in non-perfectly competitive environments as well. I'm really struck here by how you're assuming that firms and industry face constant or decreasing returns to scale across the range of Q (0 to infinity). That doesn't pass a reality test!
And I'm struck how you assume they face increasing costs. We're not talking about
infinity here, we're talking about control of the whole market targeted by the firm (monopoly). Or at least of a large enough fraction that this particular firm (for we're talking about
firms, not industry segments) can influence prices. Once that happens perfect competition for this market is gone, and this (monopoly) can easily be achieved, profitably, by a firm.
That's another problem with standard economic theory: the mantra "monopolies are bad". Yes, they are, because they offer a single firm the power to charge higher prices, much over production costs. But they're
efficient, as far as costs are concerned.
All this is not even new, the failure of the neoclassical theory of the firm has been known for 83 years, ever since
Piero Sraffa published a demolishing critique against it. Yet it is still taught in schools. Pretty and simple mathematics are more important than reality...
I'd argue the Fed has a semblance of a plan. Governments intervene in the economy for a variety a reasons, not just circumstances. If economics as a discpline is useless, then why would firms who want to make money, or governments for that matter, hire them? You can't have one scenario and the other at the same time.

If the Fed had a plan the LIBOR for dollars wouldn't now be twice the "official" rate. The fed can't even lower rates any more, because that'd be ignored by banks, and expose the fact that monetary policy is now out of control.
In fact, if the managers of these firms had a plan, or the government and the regulators (are there any left?), the debt craziness wouldn't have happened, would have been
prevented, and the largest banks, insurers of the world wouldn't be collapsing. The funny thing is that this situation was perfectly predictable for anyone with some common sense (debt can only grow until the weight of servicing it becomes unbearable), yet thousands of economists working for these collapsed banks kept on with their models and assumptions, right into bankruptcy.