Answer: B
In the Baeyer-Villiger step the aryl group migrates in preference to methyl, giving 4-methoxyphenyl ethanoate, CHX3COO−CX6HX4−OCHX3. Alkaline hydrolysis cleaves the ester into the phenoxide and ethanoate, and acidification gives 4-methoxyphenol and ethanoic acid. The methyl ether is untouched.