Brutus Corporation, a newly formed corporation, has the following transactions during May, its first month of operations.

May $1$ Purchased $500$ units @ $$25\mathrm{.}00$ each.

$4$ Purchased $300$ units @ $$24\mathrm{.}00$ each.

$6$ Sold $400$ units @ $$38\mathrm{.}00$ each.

$8$ Purchased $700$ units @ $$23\mathrm{.}00$ each.

$13$ Sold $450$ units @ $$37\mathrm{.}50$ each.

$20$ Purchased $250$ units @ $$25\mathrm{.}25$ each.

$22$ Sold $275$ units @ $$36\mathrm{.}00$ each.

$27$ Sold $300$ units @ $$37\mathrm{.}00$ each.

$28$ Purchased $550$ units @ $$26\mathrm{.}00$ each.

$30$ Sold $100$ units @$$39\mathrm{.}00$ each.

Calculate total sales, cost of merchandise sold, gross profit, and ending inventory using each of the following inventory methods:

FIFO Perpetual

FIFO Periodic

LIFO Perpetual

LIFO Periodic

Average Cost Periodic

Total Sales $($not dependent on inventory method$)$

Total Goods Available for Sale $($round to the nearest cent$)$

Round your final answers to two decimal places. In your computations, round the average cost per unit to two decimal places.