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

Jan. $1$ Inventory $8$ units at $$48$ $$384$

Aug. $13$ Purchase $17$ units at $$51867$

Nov. $30$ Purchase $19$ units at $$531,007$

Available for sale $44$ units $$2,258$

There are $18$ units of the item in the physical inventory at December $31.$ The periodic inventory system is used. Determine the inventory cost using the $($a$)$ first$-$in$,$ first$-$out $($FIFO$)$ method; $($b$)$ last$-$in$,$ first$-$out $($LIFO$)$ method; and $($c$)$ 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 $3$