The school committee shall prepare and submit its budget proposal. The budget shall be subject to the approval of the board of mayor and aldermen. The budget shall be submitted in accordance with the budget schedule established by the mayor under Section 6.03(a). The board of mayor and aldermen shall accept such budget as submitted, or reject it and return it to the school committee along with the explanation for rejection and the maximum dollar amount which the board of mayor and aldermen will approve. The school committee shall then submit a revised budget which shall not exceed the maximum dollar amount established by the board of mayor and aldermen. The school committee shall administer, expend and account for the funds approved by the board of mayor and aldermen and shall have the exclusive authority to transfer funds among line items in the school budget.