Perpetual inventory using weighted averageBeginning inventory, purchases, and sales for WCS$12$ are as follows:DateLine Item DescriptionValueOct. $1$Inventory$300$ units at $$8$Oct. $13$Sale$150$ unitsOct. $22$Purchase$350$ units at $$11$Oct. $29$Sale$200$ unitsa. Assuming a perpetual inventory system and using the weighted average method, determine the weighted average unit cost after the October $22$ purchase. Round your answer to two decimal places.fill in the blank $1$ of $1$$ per unitb. Assuming a perpetual inventory system and using the weighted average method, determine the cost of goods sold on October $29.$ Round your "average unit cost" to two decimal places.fill in the blank $1$ of $1$$c$.$ Assuming a perpetual inventory system and using the weighted average method, determine the inventory on October $31.$ Round your "average unit cost" to two decimal places.fill in the blank $1$ of $1$$