Is TSH the only thing being tested? If so, you are going to have a hard time your levels adjusted. You need to also get your Free T3 and Free T4 levels tested. Those are the actual biological hormones and correlate with symptoms much better than TSH, which can fluctuate for a variety of reason. If you have test results for FT3 and FT4, please post them, along with the reference ranges from your lab report, since the ranges vary from lab to lab, so must come from your own report.
That said, I also have to wonder why your doctor is increasing your dosage when you had a TSH of 0.30, which is already at the bottom of the range.
Can you give us a bit more background information? Have you had cancer, which required thyroidectomy? Doctors often want TSH suppressed following thyroid cancer.
A good thyroid doctor will treat a hypo patient clinically, by testing and adjusting FT3 and FT4 as necessary to relieve symptoms, without being constrained by resultant TSH levels. symptom relief is the objective of treatment, not just achieving test results that the doctor likes to see. Many of our members report that symptom relief for them required that FT3 was adjusted to at least the upper part of its range and FT4 adjusted to at least midpoint of its range. If you want to read more about clinical treatment, this is a good link.
http://hormonerestoration.com/files/ThyroidPMD.pdf
So the direct answer to your question is whatever amount of Levothyroxine (T4 med) and, if necessary, T3 med that are required to increase your FT3 and FT4 levels to relieve symptoms. Your dosage should not be based on your TSH level, nor your FT3 and FT4 levels, but on symptom relief. Test results are valuable mainly as indicators during diagnosis and then afterward to track FT3 and FT4 as meds are revised to relieve symptoms.