At the beginning of the current period, Chen Company carried $4,500$ units of its product with a unit cost of $$32.$ A summary of purchases during the current period follows. Also, during

the current period, Chen sold $12,600$ units.

a$.$ Assume that Chen uses the first$-$in$,$ first$-$out method. Compute both cost of goods sold for the current period and the ending inventory balance.

b$.$ Assume that Chen uses the last$-$in$,$ first$-$out method. Compute both cost of goods sold for the current period and the ending inventory balance.

c$.$ Assume that Chen uses the average cost method. Compute both cost of goods sold for the current period and the ending inventory balance.