Vita Water purchased a used machine for $$121,400$ on January $2,2023.$ It was repaired the next day at a cost of $$9,163$ and installed on a new platform that cost $$1,637.$ The company predicted that the machine would be used for six years and would then have a $$23,720$ residual value. Depreciation was to be charged on a straight$-$line basis to the nearest whole month. A full year$$s depreciation was recorded on December $31,2023.$ On September $30,2028,$ it was retired.