Your problem might be:
2) Graphics card/chip
3) Software (drivers or other).
If a DIFFERENT monitor connects fine then the Acer monitor has power issues. Probably a capacitor that has issues charging to maintain the ON state.
Since there's no good reason to turn the monitor off, leave it on always. It will go into a standby mode either automatically with PC on (Power Settings in Windows) or definitely when you turn off the PC.
When the computer is in standby mode the power portion consumes a small amount of electricity (probably sub 1W) but it avoids incurring the damage over time that repeatedly turning on the monitor causes.