Riverbed Distribution markets CDs of numerous performing artists. At the beginning of March,

Riverbed had in beginning inventory $3,600$ CDs with a unit cost of $$7.$ During March, Riverbed

made the following purchases of CDs$.$

March $54,500$ @ $$8$ March $217,400$ @ $$10$

March $136,300$ @ $$9$ March $265,200$ @ $$11$

During March $20,000$ units were sold. Riverbed uses a periodic inventory system.

Determine $(1)$ the ending inventory and $(2)$ the cost of goods sold under each of the assumed

cost flow methods $($FIFO$,$ LIFO, and average$-$cost$).$ Prove the accuracy of the cost of goods

sold under the FIFO and LIFO methods. $($Round answersto $0$ decimal places, e$.$g$.1,250.$ Use

weighted$-$average unit cost rounded to $3$ decimal placesfor computations.$)$