Final answer:
The beginning inventory for Lux was $10,000.
Step-by-step explanation:
The formula to find the beginning inventory is:
Beginning Inventory + Purchases - Cost of Goods Sold = Ending Inventory
Given that the net purchases were $70,000 and the ending inventory was $45,000, we can substitute the values into the formula:
Beginning Inventory + $70,000 - $35,000 = $45,000
Therefore, the beginning inventory was $10,000.