Definitely you should have "Monday-1", etc. You should have 2 sets of daily tapes except for the day you do weekly backups. Two sets of weekly backup tapes except for the week you do monthly backups. And you should have one monthly backup tape for each month.
Then, depending on the level of auditing that your company needs, you will need to archive some tapes offsite.
Practice:
On day 1 you make a full system backup.
Week 1: For the next week, you make incremental daily backups until Friday (or Sunday if you will be in). On that day you make a weekly incremental tape (incremental from the full system backup).
Week 2: Starting the next Monday you use the second set of daily tapes for daily incremental backups. At the end of the week you use the second weekly incremental tape.
Week 3: Recycle the first set of daily incremental tapes. At the end of the week use the 3rd weekly incremental tape.
Week 4: Recycle the second set of daily incremental tapes. (You get the idea on the daily tapes now, right?) At the end of the week use the 4th weekly incremental tape.
Some times there will be a Week 5.
On the first Sunday of the month, perform an incremental monthly backup or a full system backup depending on how much history you want to maintain and how much tape you want to use up.
Keep in mind that if you have to restore the system you will have to start with the last full system backup and post every monthly backup since, followed by every weekly backup since the last monthly, followed by every daily backup since the last weekly.
Does that make sense?
Nameing tapes should be done in two ways (or at least lots of info should be kept on each tape).
MEANINGFUL NAME: such as Monday-1 or Weekly-1, etc.
LOGICAL NAME: 20070402-01 (the date you bought it followed by a sequence number if there were more than one tapes bought on that date).
SYSTEM NAME: Do you back up more than one system?
and so on...
REPLACE THEM MORE OFTEN!!!
Backups are useless if they have drop-outs. The media does wear out. Consult the tape literature to see how long the useful life is.