Inventory Costing Methods $-$ Periodic Method Fortune Stores uses the periodic inventory system for its merchandise inventory. The April $1$ inventory for one of the items in the merchandise inventory consisted of $120$ units with a unit cost of $$335.$ Transactions for this item during April were as follows:

$\backslash$table$[[$April$,9,$Purchased,$40,$units @$,$$$355,$per unit$],[,14,$Sold,$80,$units @$,$$$560,$per unit$],[,23,$Purchased,$20,$units @$,$$$360,$per unit$],[,29,$Sold,$40,$units,,$]]$

Required

a$.$ Calculate the cost of goods sold and the ending inventory cost for the month of April using the weighted$-$average cost method. Do not round until your final answers. Round your final answers to the nearest dollar.

b$.$ Calculate the cost of goods sold and the ending inventory cost for the month of April using the first$-$in$,$ first$-$out method.

c$.$ Calculate the cost of goods sold and the ending inventory cost for the month of April using the last$-$in$,$ first$-$out method.