Final answer:
To estimate CSI's inventory loss from Hurricane Fred, we calculate the COGS and estimate the ending inventory pre-hurricane. The COGS is derived from sales and the consistent markup, resulting in an estimated inventory loss of $84,250.
Step-by-step explanation:
To estimate the inventory loss for Coastal Shores Inc. (CSI) due to Hurricane Fred, we must first calculate the cost of goods sold (COGS) and then estimate the ending inventory, assuming the markup is consistent across all products.
Here are the steps to calculate the COGS:
Beginning Inventory: $184,000
Purchases: $209,000
Goods Available for Sale: $184,000 (Beginning Inventory) + $209,000 (Purchases) = $393,000
Cosmetics Markup: 60%
Sales: $494,000
Since the markup is 60%, we can determine the cost ratio is 100% / (100% + 60%) = 100% / 160% = 5/8. This means that for every dollar of sales, $0.625 is COGS and the remainder is markup.
Using the given sales figure, we can now calculate the COGS based on the sales:
COGS = Sales * Cost Ratio = $494,000 * 5/8 = $308,750
With COGS known, we can estimate the ending inventory before the hurricane:
Ending Inventory = Goods Available for Sale - COGS = $393,000 - $308,750 = $84,250
Therefore, the estimated inventory loss due to Hurricane Fred would be $84,250.