$5)$ Periwinkle, Inc. uses a periodic inventory system and the LIFO retail method to estimate its ending inventory. The following data has been obtained from the accounting records for December $31,2022.$

Cost Retail

Inventory, January $1275,000345,000$

Purchases $450,000660,000$

Net markups $14,000$

Net markdowns $16,000$

Net sales $525,000$

Additional costs include $$3,000$ in transportation costs and $$2,000$ in normal shrinkage.

Estimate the cost of ending inventory applying:

a$)$ The conventional retail method

b$)$ The average cost retail method

c$)$ The LIFO retail method