It is unlawful for any person to deposit or allow to be deposited any material upon any public right-of-way of Pierce County or upon private or public property adjoining the highway on either side of the right-of-way, except at duly designated dumping places as set out and so marked and authorized by the County Council or otherwise permitted by the owners of adjoining private property or by constituted public authority. Any person violating this Section shall be responsible for the removal of the material within 24 hours of the receipt of written notice from Pierce County. If the materials are not removed within 24 hours, the violator shall be responsible for all costs incurred by Pierce County in removing the materials.