An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (2)
The first 100 units sold are from the beginning inventory at $200/unit, costing $20,000.
The next 100 units sold are from the September purchase at $300/unit, costing $30,000.
The total Cost of Goods Sold (COGS) is the sum of these costs.
The Cost of Goods Sold in December is $50 , 000 .
Explanation
Understanding the Problem We are given the beginning inventory and purchases for a company. We are asked to find the Cost of Goods Sold (COGS) in December using the FIFO (First-In, First-Out) method. The FIFO method assumes that the first units purchased are the first units sold.
Identifying the Inventory Layers We are told that 200 units were sold in December. Under the FIFO method, we need to determine which inventory layers these 200 units came from.
Calculating Cost from Beginning Inventory The first 100 units sold would come from the beginning inventory, which cost $200 per unit. The cost for these 100 units is: 100 × $200 = $20 , 000
Calculating Cost from September Purchase The next 100 units sold would come from the September purchase, which cost $300 per unit. The cost for these 100 units is: 100 × $300 = $30 , 000
Calculating Total COGS The total Cost of Goods Sold (COGS) in December is the sum of the costs from the beginning inventory and the September purchase: $20 , 000 + $30 , 000 = $50 , 000
Examples
Understanding inventory valuation methods like FIFO is crucial for businesses. For example, a bakery uses FIFO to ensure that the oldest ingredients (flour, sugar, etc.) are used first, minimizing waste and spoilage. By accurately tracking the cost of goods sold, the bakery can make informed decisions about pricing, production, and profitability. This method helps maintain quality and optimize financial performance.
A device delivering a current of 15.0 A for 30 seconds allows approximately 2.81 x 10^21 electrons to flow through it. This calculation is based on the relationship between current, charge, and the number of electrons. Understanding these concepts is important in physics for analyzing electric circuits and charge flow.
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