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Bach Co. adopted the dollar-value LIFO inventory method as of January 1, 2006. A single inventory pool and an internally computed price index are used

Bach Co. adopted the dollar-value LIFO inventory method as of January 1, 2006.

A single inventory pool and an internally computed price index are used to compute Bach's LIFO inventory layers. Information about Bach's dollar-value inventory follows:

Inventory
Date at base-year cost at current-year cost
1/1/06 $90,000 $90,000
2006 layer 20,000 30,000
2007 layer 40,000 80,000

What was the price index used to compute Bach's 2007 dollar-value LIFO inventory layer?

The answer is 1.33. However, I do not understand how.

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