You are mostly welcome. Yes it is indeed a very nice example to estimate the doses when not known accurately or even if for some reason there is a relative bioavailability assessment to be made. Then now you can answer to your real problem. Do not forget that not fixing the other model parameters will lead to potential multiple or even infinite optimal solutions and the optimizer will randomly generate one. If f1=f2, then it is definitevely a must to fix V at least.
Let me know if you need further assistance. Sprry for the typo errors, there is no spelling check I think here in the forum.
best Regards;
Serge