The following information is available for Rock Shop. In January, the shop sold $100$ units.

Units Unit Cost

Beginning Inventory, January $1100$ units $$5\mathrm{.}00$

Purchase, January $990$ units $$5\mathrm{.}40$

Sold, January $15100$ units

Purchase, January $26200$ units $$6\mathrm{.}00$

$1)$ Compute the cost of goods sold and ending inventory using First$-$in$,$ First$-$out method when a periodic system is used $($show the steps in computation to get partial credits$).3$ points

$2)$ Compute the cost of goods sold and ending inventory using Last$-$in$,$ First$-$out method when a perpetual system is used $($show the steps in computation to get partial credits$).3$ points