Payment of administration and engineering costs which the county superintendent of highways may incur, with the approval of the county board, to carry out his duties under the provisions of Sections 6-701.1, 6-701.2 or 6-701.4 of this Code. The administration and engineering services may be paid out of any funds available in the county treasury, but not including motor fuel tax funds advanced to the county under the provisions of Sections 5-701.1 to 5-701.7, inclusive, of this Code, and reimbursement shall be made either (1) on an actual cost basis of such administration and engineering services, or (2) on a fixed per cent of the construction or maintenance costs, such procedure and actual cost basis or per cent to be subject to approval by the Department.