Final answer:
The student's inquiry relates to determining the cost of goods sold using FIFO and LIFO methods for Metlock Marine Products, not the examples of AAA Aquarium Co. and Doggies Paradise Inc. FIFO accounts for the oldest inventory first, while LIFO uses the most recent costs.
Step-by-step explanation:
The student is asking how to determine the cost of goods sold (COGS) under both FIFO (First-In, First-Out) and LIFO (Last-In, First-Out) inventory costing methods using a periodic system. Unfortunately, the provided information does not match the question. Instead, it discusses the profit-maximization problem for AAA Aquarium Co. and Doggies Paradise Inc. which are separate examples dealing with calculating different levels of output, total revenue, total cost, marginal revenue, and marginal cost.
For the proper FIFO and LIFO question, under FIFO, the oldest inventory items are sold first, so the cost of goods sold is based on the cost of the oldest items in inventory. Conversely, under LIFO, the most recently purchased items are considered sold first, and the COGS is based on the latest purchase costs.
To calculate COGS for the Metlock example, assuming FIFO, the first 11 units from the beginning inventory (at $12 each) would be used, followed by units from the May 5 purchase, and so on, until you account for all units sold. Under LIFO, you would start with the costs of the 21 units from the December 7 purchase (at $24 each), then the units from the July 16 purchase, and so on, in reverse chronological order.