Whenever a public nuisance is abated by the city, the statement of the costs of the public nuisance shall include the city's actual cost of abatement, plus an administrative fee, not to exceed 10%, and a civil penalty. For the first abatement of a public nuisance upon any owner's property within the city in any two-year period, the civil penalty shall be $250. For second and subsequent abatements upon any properties of any owner within the city during any two-year period, the civil penalty shall be $500. The increased civil penalty shall be imposed and collected regardless of whether the second and subsequent public nuisances upon property or properties of an owner involve the same property or the public nuisances are of the same or different character.