Sometimes, an unreasonable dumbass whose only authority comes from corporate heirarchy is needed to mandate the engineers start chipping away at the tasks. If they weren't a dumbass, they'd know the unreasonable thing they're mandating, and if they weren't unreasonable, they wouldn't mandate the someone does it.
I am an an engineer. "Sometimes" could be swapped for "rarely" above, but the point still stands: as much frustration as I have towards those people, they do occasionally lead to the impossible being delivered. But then again, a stopped clock -> twice a day etc.