Culver Ltd$.($CL$)$ is a retailer of office equipment. The company uses a periodic inventory system and on October $1$ had $2,200$ units of inventory with a total cost of $$46,200.$ During the month of October, CL had the following inventory$-$related transactions:

$\backslash$table$[[,$Explanation,Units,Unit Cost$/$Price$,$Total Cost,$],[\backslash$table$[[$Date$],[$Oct$.]],9,$Purchase,$5,000,$$$22\mathrm{.}00,$$$110,000$

Cost of goods available for sale FIFO: $$333730$

Cost of goods available for sale average cost: $$333730$

Question: calculate ending inventory at october $31$ and cost of goods sold for the month assuming that CL used $(1)$ FIFO and $(2)$ average cost