A new player has to follow his level and will probably first invest multiple manuscripts before you are even able to use tomes.
Let's say you have 2 geologists and 3 explorers, (meaning you can invest a max of 55 manuscripts, 50 tomes and 30 codexes).
You'll probably reach the required level to create tomes before you created those 55 manuscripts, but since manuscripts don't require a lower tier book, this doesn't really matter.
So let's just assume you invested all possible manuscripts and are able to invest all 50 tomes in your specialists
The first 20 tomes require an additional 20 manuscripts
The second batch of 20 tomes require an additional 40 manuscripts
The last 10 tomes require an additional 30 manuscripts.
Making the total of 50 tomes and 55+90=145 manuscripts, this will take quite a while and you'll probably get access to the codex before that and might want to invest some of them, before investing all tomes.
- Let's assume you'll invest the tomes first and then starts making the codexes
this means you can invest all 30 codexes now
The first 10 require 10 tomes and thus 30 manuscripts
Next 10 require 10 tomes and 40 manuscripts
(at this point you have all 3 achievements and created 20 codexes, 70 tomes and 215 manuscripts.
Which took 163 days and 12 hours on a level 5 bookbinder, or 272 days and 12 hours on a level 3 bookbinder)
The remaining 10 require 10 tomes and 40 manuscripts
Making the total 30 codexes, 50+30=80 tomes and 55+90+140=285 manuscripts
- Let's assume you want your geo's fully specced first before creating additional tomes
this means you start creating 12 codexes after creating 20 tomes then finish up with the remaining 30 tomes and 18 codexes
The first 20 tomes require an additional 20 manuscripts
Then 12 codexes which require 12 tomes and thus (2*12=)24 manuscripts
Making the total 12 codexes, 20+12=32 tomes and 55+20+24=99 manuscripts
The next 8 tomes require 8*2=16 manuscripts
Then 10 tomes requiring 10*3=30 manuscripts
Making the total 12 codexes, 20+12+18=50 tomes and 55+20+24+46=145 manuscripts
The next 8 codexes require 8 tomes and 8*3=24 manuscripts
(at this point you have all 3 achievements and created 20 codexes, 58 tomes and 169 manuscripts.
Which took 132 days and about 15 hours on a level 5 bookbinder, or 221 days on a level 3 bookbinder)
The next 2 codexes require 2 tomes and 8*2=24 manuscripts
The last 8 codexes require 8 tomes and 8*4=32 manuscripts
Making the total 30 codexes, 20+12+18+18=68 tomes and 55+20+24+46+62=207 manuscripts