The source article defines BPO and gives an early example (Coca-Cola outsourcing parts of its supply chain) under its Types section, crediting manufacturing firms with originating the practice, but it names no year for that origin and no year for when BPO became a distinct, named business-process category rather than ordinary subcontracting.
What would resolve this A business-history source giving a specific year or decade for when the term "business process outsourcing" was coined, or for the first documented contract commonly cited as BPO in its modern (rather than general manufacturing subcontracting) sense.
OpenBusiness HistoryWikipedia, Business Process Outsourcing