Market Basket's board of directors has fired two suspended executives who are loyal to suspended CEO Arthur T. Demoulas.

Two longtime Market Basket executives who were fired this week stood outside one of the chain's grocery stores and publicly questioned the future of the beloved chain on Wednesday.

In a statement, Market Basket board of directors said the terminations came as a result of a recent internal investigation that found the two supervisors engaged in “insubordination, making false and derogatory remarks about the company and people associated with it, and inappropriate communications with colleagues.”