Problem $8-1($Algo$)$ Various inventory transactions; journal entries $[$LO$8-1,8-2,8-3]$

$[$The following information applies to the questions displayed below.$]$

Autumn Company began the month of October with inventory of $$30,000.$ The following inventory transactions occurred during the month:

a$.$ The company purchased inventory on account for $$44,500$ on October $12.$ Terms of the purchase were $\frac{2}{10},\frac{n}{30}$ Autumn uses the net method to record purchases. The inventory was shipped f$.$o$.$b$.$ shipping point and freight charges of $$650$ were paid in cash.

b$.$ On October $31,$ Autumn paid for the inventory purchased on October $12.$

c$.$ During October inventory costing $$20,250$ was sold on account for $$31,000.$

d$.$ It was determined that inventory on hand at the end of October cost $$54,010.$

Problem $8-1($Algo$)$ Part $2$

$2.$ Assuming Autumn Company uses a periodic inventory system, prepare journal entries for the above transactions including the adjusting entry at the end of October to record cost of goods sold. Autumn considers purchase discounts lost as part of interest expense.

Note: If no entry is required for a transaction$/$event$,$ select $"$No journal entry required" in the first account field.