Electrical Dynamic Range of the Sound System

What is the dynamic range required
of the sound system for such a concert?
The electrical signal level in the sound
system (given in dBu) is proportional
to the original sound pressure level (in
dB SPL) at the microphone. The actual
electrical levels, of course, will depend
on the sensitivity of the microphones
the g?-in in the preamplifiers, power '
amplifiers, and so forth, but these
values, once established, remain fairly
constant so well assume they are
constant and look at the nominal level
(that is, the level specified and
designed for) in the electronics.
Thus, when the sound levels reach
130 dB SPL at the mic, the maximum
line levels (at the mixing console's
output) may reach +24 dBu
(12.3 volts), and maximum output
levels from each power amplifier may
peak at 250 watts (of course, there may
be dozens of such power amplifiers
each peaking at 250 watts, but let's
keep things simple for now). Similarly,
when the sound level falls to 40 dB
SPL, the minimum line level falls to 66
dBu (388 microvolts) and power
amplifier output level falls to 250
nanowatts (250 billionths of a watt).
When the acoustical program from
the mic is converted to an electrical
signa.l at .the mixing console output,
does It still have the same dynamic
range?