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 $$17,000.$ The following inventory transactions occurred during the month:

a$.$ The company purchased inventory on account for $$25,000$ on$.$ October $12.$ Terms of the purchase were $\frac{3}{10},\frac{n}{30}.$ Autumn uses the net method to record purchases. The inventory was shipped fo$.$b$.$ shipping point and freight charges of $$520$ were paid in cash.

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

c$.$ During October inventory costing $$18,300$ was sold on account for $$28,400.$

d$.$ It was determined that inventory on hand at the end of October cost $$23,470.$