Step 1: The question is really asking which chromosome ultimately controls Mullerian regression. MIF/AMH causes regression of the Mullerian ducts in the male embryo.
Step 2: AMH is made by testicular Sertoli cells. Sertoli cells only exist because the gonad became a testis, and that fate is decided by the SRY master switch.
Step 3: SRY (the testis-determining factor) maps to the short arm of the $Y$ chromosome. Without a Y, there is no SRY, no testis, no Sertoli cells, and no MIF.
Step 4: Discard the other options: autosomes 16 and 22 host AMH structural and receptor loci but are not the determining chromosome the question wants, and the $X$ chromosome does not carry the male-determining trigger.
Step 5: So the chromosome responsible for MIF production is the Y chromosome.\[\boxed{\text{Y chromosome}}\]