Adding SPF
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An SPF lip balm is the most requested product in the category and the hardest one for a small maker to produce legally.
A different monograph
Sunscreens are covered by OTC Monograph M020, a deemed final administrative order that carried forward the conditions published in 1999 as 21 CFR part 352. Since the CARES Act it is amended by administrative order rather than by rulemaking, and several provisions, labeling and maximum SPF among them, are still being worked through.
What that means in practice: the requirements are live and in force, and the ground under some of the detail is moving. Check the current order rather than a summary written a few years ago.
A combination of a skin protectant and a sunscreen is dealt with in 347.20(d) together with the sunscreen monograph, and that combination is what a medicated SPF lip balm actually is.
Testing, not calculation
This is the part that ends most home attempts. An SPF value is a measured result, not a number you derive from the percentage of zinc oxide you added. It comes from testing to the monograph method, on human subjects, at a laboratory.
Which costs real money per formula, and applies per formula: change the wax, the oil ratio or the pigment load and the tested value no longer describes what you are selling.
Supplier literature quoting an SPF for an ingredient is describing that ingredient in somebody else's tested formula. It is not your result and you may not print it.
The label changes again
Drug Facts with the sunscreen active and its purpose, the SPF value, the prescribed uses and warnings, directions including reapplication, and where applicable the broad spectrum statement.
On a lip balm tube, with a skin protectant active as well, this is the tightest label in the category, and the small-package provision is doing all the work.
Whether to do it at all
An honest read: SPF is a real product with real demand and it is a poor first product. The testing cost lands before the first sale, the formula is locked by it, and the manufacturing standard is cGMP.
Makers who want to serve that demand usually do it later, or through a co-packer already running tested sunscreen formulas, which is a legitimate route and worth pricing early.