Any dog or other animal, except animals bearing owner identification or inoculation tags, impounded pursuant to the provisions of this chapter, which has not been redeemed within three working days shall be humanely destroyed or otherwise disposed of by the director of the county animal pound. Any dog with owner identification tags, which is impounded pursuant to the provisions of this chapter and which shall not be redeemed within seven working days shall be humanely destroyed or otherwise disposed of by the director of the county animal pound.