Problem: While I like the option of an automatic grade deduction for late assignment, as it currently works, the only way to put a "floor" on a late grade is by setting a "lowest possible grade percent."  When I set this to 50%, students with very late work will receive the same grade whether they get 100% correct or 50% correct.  The student who is very late and gets 50% correct actually receives no deduction for being late.

Solution: Allow the option to set a "maximum percent deduction."  In this I could set all very late assignments to be worth half their original value so that 100% accuracy would become 50%, and 50% accuracy would become 25%, but no late assignment would receive less than half it's original value.