Have to be careful to balance being inclusive/ available vs. appealing to the more in-demand teachers. Depending on your socioeconomic situation, I think a good general rule is what can you make the rate to bring in the best teachers and create a high quality culture, without alienating many students (someone will always need scholarship or not want to spend the money)?
Musical pursuits are not cheap. Iíve noticed a tendency in instrumentalists/ private teachers to want to do good and help that extra kid or kids, even when trying to pay rent and college loans and gas. Have been there myself for sure. The more you can support that lesson staff, the less turnover you will have, the more loyalty you will buy, etc.
We must be extra careful to show our teachers (in bright green) that we value them. Private teaching is not a salary deal, remember these people are paying part of that $x fee back in taxes, plus gas, etc.
Hope this helps and does not appear preachy.