Bimr,
42 psig static would be too low (pump or not).
Current IPC requires 35 psig at top level fixture (static).
So, minimum static, in your instance, would be 52 psig.
But we also have to think of the dynamic, which will include friction losses, which could be 10-15 psig, pressure drop across the backflow, which could be around 13 psig, pressure drop across a water softener (which could be required) of ~15 psig. Say your residual pressure at the building source at 25 gpm (for a toilet) is 50 psig, you have lost 17 for static, 10 for friction, 13 for backflow. You now have 10 psig at the toilet when it flows. Most toilets require about 25 psig dynamic pressure. So you need to start about 15 psig higher static (pump shut off) or 76 psig so your toilets work. It would have to be 91 psig if you have a softener.
So for the 4 story building (and 10 feet per floor is a bit low, but will go with it), a realistic minimum static pressure is 76 psig. If the municipal service cannot provide that, then you need a pump, which will require either splitting the system between pumped and non pumped or providing PRV's in the building.