I've always thought that the crew size of ships in the TNG era didn't make much sense. 400-odd crew on a Constitution-class...but only 1,000-odd on a Galaxy-class, which is significantly larger in volume? I don't know the specific stats, but IIRC the Galaxy is something like 20x larger in volume and deck space than the Constitution was.
Doesn't make sense.
Ii seems that only a relatively small percentage of the crew have their families in tow aboard the 1701D, and the crew quarters we do see are more like luxury apartments when compared to TOS standards. Steadily increasing emphasis on crew comfort and related facilities (holodecks, etc.), along with expanded research and cargo/passenger capacity (I believe the galaxy class ships even launch with a certain volume of space-frame available for mission-specific applications, etc.), might make a crew only 2.5 times larger than the constitution class seem just about right.
If a standard crew compliment of 1000 is what we've got, then adjust the facts to make that a good fit.
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