Perpetual inventory using FIFOBeginning inventory, purchases, and sales for Item Zeta$9$ are as follows:DateLine Item DescriptionValueOct. $1$Inventory$57$ units @ $$22$Oct. $7$Sale$45$ unitsOct. $15$Purchase$58$ units @ $$23$Oct. $24$Sale$17$ unitsAssuming a perpetual inventory system and using the first$-$in$,$ first$-$out $($FIFO$)$ method, determine $($a$)$ the cost of goods sold on October $24$ and $($b$)$ the inventory on October $31.$a$.$ Cost of goods sold on October $24$ fill in the blank $1$ of $2$b$.$ Inventory on Oc