Russ Roberts makes an excellent point about Science and Economics (rtwt), and I think it's extensible.
The primary thing you learn as a Scientist is that you can explain some stuff well with math.
The primary thing you learn as an engineer is how to design stuff that works how you want it to.
The primary thing you learn as a manager is how to get people to do what you need, when you need it.
The primary thing you learn as an economist is that for complex systems, you can't design it to work how you want.
The engineer's and manager's understanding of the world, and the economist's are very nearly incompatible.
Engineers/managers ask: How do you solve problem X?
Economists say: You can't.