Final answer:
To calculate the gross profit, we need to determine the cost of goods sold (COGS) using the LIFO method. By calculating the LIFO cost of the January 1 and December 31 inventory, as well as the total purchases, we can determine the COGS and calculate the gross profit. The gross profit for Ellis Company is $553,725.
Step-by-step explanation:
To calculate the gross profit, we need to determine the cost of goods sold (COGS). Since the company uses dollar-value LIFO, we can use the LIFO method to calculate COGS. Here's how:
- Calculate the LIFO cost of the January 1 inventory: $150,000 x 110 (price index) = $165,000.
- Calculate the LIFO cost of the December 31 inventory: $189,750 x 110 (price index) = $208,725.
- Calculate the total purchases for the year at LIFO cost: $900,000 x 110 (price index) = $990,000.
- Calculate the LIFO cost of goods sold: January 1 inventory + purchases - December 31 inventory = $165,000 + $990,000 - $208,725 = $946,275.
- Calculate the gross profit: Sales - COGS = $1,500,000 - $946,275 = $553,725.
Thus, Ellis Company's gross profit is $553,725.