EX $6-12$ Periodic inventory by three methods b$.$ $$6,000$

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The units of an item available for sale during the year were as follows: Jan.

$1$

Feb. $17$ July $21$

Nov. $23$

Inventory Purchase

Purchase Purchase

$5,500$ units at $$46,400$ units at $$66,000$ units at $$82,100$ units at $$10$

There are $1,500$ units of the item in the physical inventory at December $31.$ The periodic inventory system is used. Determine the inventory cost by the $($a$)$ first$-$in$,$ first$-$out method, $($b$)$ last$-$in$,$ first$-$out method, and $($c$)$ weighted average cost method.