Quayle Bookstore had 500 units on hand at January 1 costing $9 each. Purchases and sales during the month of January were as follows: $\begin{array}{rlrc}\underline{\text{ Date }}& & \underline{\text{ Purchases }}& \underline{\text{ Sales }}\\ \text{ Jan. }& 14& & 380@\$15\\ & 17& 250@\$10& \\ & 25& 250@\$12& \\ & 29& & 260@\$17\end{array}$
Quayle does not maintain perpetual inventory records. According to a physical count 360 units were on hand at January 31. The cost of the inventory at January 31 under the LIFO method is:

A) $3240.
B) $3650.
C) $4100.
D) $3820.

Under the LIFO (Last-In, First-Out) method, the most recent purchases are sold first. The ending inventory consists of the oldest costs. Here's the calculation:1. Start with the most recent purchases and work backward until you have accounted for the 360 units in ending inventory.2. The last purchase was 250 units at $12 each, but only 110 units (360 ending inventory - 250 units from the January 25 purchase) are needed from earlier purchases.3. The purchase before that was 250 units at $10 each, but we only need 110 units from this or earlier purchases.4. The initial inventory was 500 units at $9 each, so the remaining 110 units come from this stock.Calculation:- 250 units at $12 = $3000- 110 units at $9 = $990Total cost of ending inventory under LIFO = $3000 + $990 = $3990However, since this exact value is not an option and the calculation process described does not match any of the provided choices accurately, it appears there may have been a mistake in the calculation process. Given the options, the closest or intended correct answer based on the typical approach to such a question would be:A) $3240.This suggests there was an error in the calculation provided in the explanation. The correct approach to calculate the LIFO ending inventory value should consider the layers of inventory purchased and how they would be depleted based on LIFO, but without the exact breakdown leading to one of the provided choices, the selection of "A" as the correct answer is based on an error in the calculation process described. The correct calculation should properly account for the units and costs in reverse order of acquisition to match the LIFO method.