(1) It shall be the duty of the Board of Tax Appeals to hear and determine objections to assessments made by the Department of Revenue for ad valorem tax purposes. They may, if they think objections just, sustain the same and amend assessments, if necessary accordingly.
(2) Any objection shall be in writing and filed with the Executive Director of the Board of Tax Appeals within the thirty-day period set out in Section 27-35-309(2)(a). At the time of filing the objection with the Executive Director of the Board of Tax Appeals, the taxpayer shall also file a copy of his written objection with the Department of Revenue.