Read the following information about inventory.

$\backslash$table$[[$ABC Co$.],[$Beginning inventory Read the following information about inventory.

$\backslash$table$[[$ABC Co$.],[$Beginning inventory Read the following information about inventory.

$\backslash$table$[[$ABC Co$.],[$Beginning inventory Read the following information about inventory.

$\backslash$table$[[$ABC Co$.],[$Beginning inventory

Read the following information about inventory.

$\backslash$table$[[$ABC Co$.],[$Beginning inventory & Inventory purchased in September,Units,Cost per Unit,Total Cost$],[$Beg$.$ Inventory $9/1,2,000,$$ $10\mathrm{.}00,$$$20,000\mathrm{.}00],[$Purchase $9/3,1,000,10\mathrm{.}75,10,750\mathrm{.}00],[$Purchase $9/21,1,000,10\mathrm{.}95,10,950\mathrm{.}00],[,,,],[$Units sold in September,,$],[$Sale $9/7,500,,],[$Sale $9/29,1,500,,]]$

$(1)$ Find COGS for September and inventory at the end of September under perpetual average cost.

$(2)$ Find COGS for September and inventory at the end of September under periodic average cost.

$(3)$ Find COGS for September and inventory at the end of September under perpetual FIFO.

$(4)$ Find COGS for September and inventory at the end of September under periodic FIFO.

$(5)$ Find COGS for September and inventory at the end of September under perpetual LIFO.

$(6)$ Find COGS for September and inventory at the end of September under periodic LIFO.