For the maintenance of each child committed to the custody of the Department pursuant to subdivision A 14 of § 16.1-278.8 and placed in a private home or in a facility other than one operated by the Commonwealth, there shall be paid a per diem allowance which shall be established by the Department from funds appropriated to the Department for this purpose. The cost of such care shall not exceed that amount which would be incurred if the services required by the child were provided in a juvenile facility operated by the Department. No child shall be placed outside the Commonwealth without first complying with the appropriate provisions of Chapters 10 (§ 63.2-1000 et seq.) and 11 (§ 63.2-1100 et seq.) of Title 63.2 or with regulations of the State Board of Social Services relating to resident children placed out of the Commonwealth.