In a respectable aerospace organization, a typical effort into such an optimization project would be in the order of 3 mid-to-senior staff, for a duration of 6 months. Consider a loaded rate of $200k/year (remember, overhead makes it much more expensive), and you'll be looking at about $300k for a single tentative. Let's suppose they probably tried no more than 3 to 5 approaches already, that's $1.5M of taxpayer's money they already put on that. And they still can't figure out a way to keep a good configuration of shadows on the longerons when they push it for a little more power.
If I came up with an optimal solution to this problem, I'd be miffed to be let go with $10k (or $30k as they seem to have updated) and a nicely worded letter. I would hope my carreer to be guaranteed✝ for a few years, instead of being thrown back on my own into the void.
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✝ No, the letter is not a guarantee of employment elsewhere. If anything, it might very well scare off "normal" employers from hiring a prospect.