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A company began $2024$ with $26,000$ units of inventory on hand. The cost of each unit was $$5\mathrm{.}00.$ During $2024,$ an additional $46,000$ units were purchased at a single unit cost, and $36,000$ units remained on hand at the end of $2024(36,000$ units therefore were sold during $2024).$ The company uses a periodic inventory system. Cost of goods sold for $2024,$ applying the average cost method, is $$221,400.$ The company is interested in determining what cost of goods sold would have been if the FIFO or LIFO methods were used.

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$2.$ Determine the cost of goods sold for $2024$ using the LIFO method.

Note: Do not round intermediate calculations.