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

Jan. $1$ Inventory $15$ units at $$4,800$ $$72,000$

Aug. $7$ Purchase $18$ units at $$5,10091,800$

Dec. $11$ Purchase $12$ units at $$5,20062,400$

$45$ units $$226,200$

There are $19$ units of the item in the physical inventory at December $31.$ The periodic inventory system is used. Determine the inventory cost using $($a$)$ the first$-$in$,$ first$-$out $($FIFO$)$ method; $($b$)$ the last$-$in$,$ first$-$out $($LIFO$)$ method; and $($c$)$ the weighted average cost method $($Round per unit cost to two decimal places and your final answer to the nearest whole dollar$).$

a$.$ First$-$in$,$ first$-$out $($FIFO$)$ $fill in the blank $1$

b$.$ Last$-$in$,$ first$-$out $($LIFO$)$ $fill in the blank $2$

c$.$ Weighted average cost $fill in the blank $3$