LIFO (Last In, First Out) means that the most recently acquired inventory is sold first.
Given that today is August 4th, 2010:
- Inventory purchased on July 30th, 2010, is the most recent before the current date.
- Inventory purchased on July 15th, 2010, is after July 30th, 2010, but before August 4th, 2010.
- Inventory purchased on June 30th, 2010, is before July 15th, 2010.
- Inventory purchased on June 15th, 2010, is the oldest among the options.
Therefore, inventory purchased on July 30th, 2010, should be sold first according to the LIFO method. So, the correct answer is OD. July 30th, 2010.