If the APU is switched off but the APU bleed is on, will the engine bleed valve close automatically? On he A320 family aircraft, if the APU is switched off but the APU bleed is on, will the engine bleed valve closed by the Bleed Monitoring Computer (BMC)?
This what I understood after going through the APU chapter of the FCOM. Just wanted to confirm because the way I understand it is that the APU bleed valves will not open since it requires a minimum of 8 PSI, so the engine bleed valve should be open.
The answer is in the FCOM:

So, the ENG bleed valve closes if:

Reverse flow detected
ENG 1 starter valve not closed
APU bleed valve open
Bad things (Overpressure / Overheat / Leak)
ENG BLEED switch is off or FIRE pb pushed

So, if APU is not ON, the APU BLEED valve is closed, and then the condition 3 is false. If all the others conditions are also false, then the ENG valve would open.