For example, at an air operator company, if you can calculate optimal schedule of plane flights so you fly as least miles as possible, you can make millions daily.
We have good heuristics for this problem which are very close to the likely best solution. So instead of an amazing pay off for a true solution you get in fact only a slight improvement or worse in some cases merely confirmation that your existing heuristic answer was actually the best possible.
Optimization is done today - manually.