Corporation z determined it owes a duty to subsidize schools and assist in educating children; the company subscribes to which theory of social responsibility?

The answer is "Corporate citizenship".

Corporate citizenship theory refers to a theory of responsibility which says that a business has a duty to do great.  

Corporate citizenship is being embraced by more organizations who have come to comprehend the significance of the ethical treatment of stakeholders.  

Organizations need to treat their partners morally and with deference by having faith in corporate citizenship, in which they indicate pledge to ethical conduct by adjusting partners' needs and ensuring the environment.