Final Answer:
The inventory turnover ratio for the manufacturing company is calculated by dividing the annual sales by the average inventory. With annual sales of $180,000 and a turnover ratio of 6, the average inventory can be determined as $30,000.
Step-by-step explanation:
The inventory turnover ratio is a crucial financial metric that assesses how efficiently a company manages its inventory. It is calculated by dividing the annual sales by the average inventory. The formula for the inventory turnover ratio is:
![\[ \text{Inventory Turnover Ratio} = \frac{\text{Annual Sales}}{\text{Average Inventory}} \]](https://img.qammunity.org/2024/formulas/business/high-school/9e55n0wyeq4t6hxyvvhzy9tgqrern3e7mu.png)
Given that the annual sales are $180,000 and the turnover ratio is 6, we can rearrange the formula to find the average inventory:
![\[ \text{Average Inventory} = \frac{\text{Annual Sales}}{\text{Inventory Turnover Ratio}} \]](https://img.qammunity.org/2024/formulas/business/high-school/s3fok6umxgs18yey64v3t3qst3q5x5fiwc.png)
Substituting the values:
![\[ \text{Average Inventory} = (\$180,000)/(6) = \$30,000 \]](https://img.qammunity.org/2024/formulas/business/high-school/9lihjqi15jynyx1nbj3va86lr9ppy62dcm.png)
Therefore, the average inventory for the company is $30,000. This means that, on average, the company's inventory is sold and replaced six times during the year. A high inventory turnover ratio generally indicates effective inventory management, ensuring that products are sold promptly and reducing holding costs.