Savage Distribution markets CDs of the performing artist Little Sister. At the

beginning of October, Savage had in beginning inventory $1,200$ Sister's CDs with a

unit cost of $$5.$ During October, Savage made the following purchases of Sister's CDs$.$

Oct. $34,000$ @ $$6$ Oct. $192,500$ @ $$8$

Oct. $93,000$ @ $$7$ Oct. $252,000$ @ $$9$

During October $9,400$ units were sold. Savage uses a periodic inventory system.

$($a$)$ Determine the cost of goods available for sale.

$($b$)$ 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$).$

$($c$)$ Which cost flow method results in $(1)$ the highest inventory amount for the balance

sheet and $(2)$ the highest cost of goods sold for the income statement?