III. Tan Company sells laptop computers. Inventory is maintained using the perpetual inventory system. All purchases of inventory are on account; accounts payable are paid in the month after purchase. On December 31,2022 , the inventory account had a balance of $52,500 prior to adjustment. A new accounting system was implemented in 2022 and proper accounting for transactions around year-end was not properly controlled. Some events that occurred are as follows. 1. Laptops shipped to a customer on January 2, 2023, which cost $6,000, were included in inventory at December 31, 2022. The sale was recorded in 2023. 2. Laptops costing $13,000 received December 31,2022 , were recorded as received on January 2, 2023. 3. Laptops received in November 2022 costing $4,200 were recorded twice in the inventory account. 4. Laptops shipped to a customer December 28,2022 , FOB shipping point, which cost $9,000, were not received by the customer until January 2023. The laptops were not included in the ending inventory. 5. Laptops on hand on December 31,2022 , costing $6,100 were never recorded in the accounting records because the invoice was not paid until January 2023. 6. A supplier shipped laptops costing $7,500 to the company on December 28,2022 , FOB shipping point. Tan received the shipment on January 3,2023 , so did not include them in inventory. Required: (a) Prepare entries necessary to correct the inventory balance at December 31, 2022. (b) What is the inventory balance after appropriate corrections have been made