Perpetual inventory using FIFOBeginning inventory, purchases, and sales for Item Zeta$9$ are as follows:Oct. $1$ Inventory $57$ units @ $$21$Oct. $7$ sales $43$ unitsOct. $15$ Purchase $46$ units @ $$24$Oct. $24$ Sale $23$ unitsAssuming a perpetual inventory system and using the first$-$in$,$ first$-$out $($FIFO$)$ method, determine $($a$)$ the cost of the goods sold on October $24$ and $($b$)$ the inventory value on October $31.$Cost of the goods sold on October $24$Inventory value on October $31$