Lime company purchased $300$ units for $$30$ each on January $31.$ It purchased $120$ units for $$40$ each on February $28.$ It sold $175$ units for $$55$ each from March $1$ through December $31.$ If the company uses the last$-$in$,$ first$-$out inventory costing method, what is the amount of Cost of Goods Sold on the income statement for the year ending December $31?($Assume that the company uses a perpetual inventory system.$)$