Notwithstanding any provision of the general statutes, each state agency, except (1) the agencies within the Legislative Department, (2) the Judicial Department, and (3) the constituent units of the state system of higher education, shall use the services of the Department of Administrative Services if the Department of Administrative Services can: (A) Provide the particular goods or services requested by such state agency, (B) comply with the delivery schedule set forth by such state agency, and (C) provide such goods or services at a cost which is not more than three per cent greater than the price quoted to such state agency by any private vendor.