Cryptic should encourage diverse gameplay. So the most rewards should go to someone who does:
STFs on Monday
Fleetevents on Tuesday
Romulan stuff on Wednesday
DOFFing on Thursday
Foundry on Friday
Episodereplay on Saturday
Hanging around in social zones (Bajor/Risa) on Sunday ()

The most rewards should not go to someone, who grinds X again and again and again.

So how to do this? They try events. But I think it would be better, if everybody could do what he wants on his own time:

WEEKLY QUEST
[] Complete a STF
[] Complete a Fleetevent
[] Complete a Romulan event
[] Do 20 DOFF missions
[] Play a Foundry mission you have not played in the last 30 days (so no repeated grinding)
[] Replay an episode you have not played in the last 30 days (so no repeated grinding)
[] Spent 1 hour in a social zone

Reward: 7000 dilithium (1000 bonuns per task)