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

Jan. $1$ Inventory $12$ units at $$46$

Feb. $17$ Purchase $17$ units at $$48$

Jul. $21$ Purchase $8$ units at $$50$

Nov. $23$ Purchase $13$ units at $$52$

There are $12$ units of the item in the physical inventory at December $31.$ The periodic inventory system is used. Round average unit cost to the nearest cent and final answers to the nearest whole dollar, if required.

a$.$ Determine the inventory cost by the first$-$in$,$ first$-$out method.

b$.$ Determine the inventory cost by the last$-$in$,$ first$-$out method.

c$.$ Determine the inventory cost by the weighted average cost method