the inventory method that will always produce the same amount for the cost of goods sold in a periodic invenotry system as

FIFO.

Explanation:

Note: This question is not complete. The complete question is therefore given before answering the question as follows:

The inventory method that will always produce the same amount for cost of goods sold in a periodic inventory system as in a perpetual inventory system would be:

FIFO.

LIFO.

Weighted average.

None of these answer choices is correct.

The explanation to the answer is now given as follows:

First-in, first-out (FIFO) is an inventory method under which the oldest inventory items are recorded in the account as being issued or sold first.

A periodic inventory system refers to an inventory valuation method under which there is an update to the inventory account at the end of an accounting period instead of after every sale and purchase of inventory items.

A perpetual inventory system to an inventory valuation method under which there is an update to the inventory account after every sale and purchase of inventory items. This is done by using computer softwares such as computerized point-of-sale systems and enterprise asset management software.

When FIFO inventory method is being used, both the periodic inventory system and perpetual inventory system will always produce the same amount for cost of goods sold.

Based this explanation, the correct option for this question is FIFO.