Problem 12 - Accounting Principles

Question

Marshall Company had actual sales of \(\$ 600,000\) when break-even sales were \(\$ 420,000\). What is the margin of safety ratio? (a) \(25 \%\). (c) \(331 / 3 \%\). (b) \(30 \%\). (d) \(45 \%\).

Step-by-Step Solution

Answer

The margin of safety ratio is 30\% (option b).

Step 1: Understanding Margin of Safety

The margin of safety is the difference between actual sales and break-even sales. It indicates how much sales can drop before the company reaches its break-even point.

Step 2: Calculating the Margin of Safety in Dollars

First, calculate the margin of safety in dollar terms using the formula: Margin of Safety = Actual Sales - Break-even Sales. Here, it is \(600,000 - 420,000 = 180,000\).

Step 3: Compute Margin of Safety Ratio

Next, calculate the margin of safety ratio by dividing the margin of safety by actual sales. The formula is: Margin of Safety Ratio = \(\frac{Margin\ of\ Safety}{Actual\ Sales}\). Plug in the values to get \(\frac{180,000}{600,000} = 0.3\).

Step 4: Convert to Percentage

To express the ratio as a percentage, multiply the result by 100. So, \(0.3 \times 100 = 30\%\).

Key Concepts

Break-even Analysis

Break-even analysis is a fundamental concept in business used to determine when a company will be able to cover its costs and begin to make a profit. This analysis helps businesses understand the minimum sales volume required to avoid a loss. The break-even point is where total revenues equal total costs, leading to neither profit nor loss. It's a crucial part of financial planning. For businesses, achieving break-even means that they can at least sustain operations without financial loss, while exceeding the break-even point can lead to profitability.

Here are key things to remember about break-even analysis:

• It highlights the minimum needed to not lose money.
• It's used to make decisions about pricing strategies and product offerings.
• It provides insights into cost management and profitability forecasting.

By mastering break-even analysis, companies can craft more effective financial strategies and goals.

Sales Revenue

Sales revenue is the income that a company receives from selling goods or services. It's the core indicator of a business's performance in generating income. This figure is crucial because it represents the money coming into the business before expenses are deducted. Companies strive to maximize sales revenue as it is fundamental to their growth and sustainability.

Understanding sales revenue involves:

• Calculating total income from all sales before taxes and expenses.
• Identifying trends or changes in revenue to gauge market performance.
• Determining factors that drive sales, such as marketing efforts or seasonal changes.

By focusing on improving sales revenue, companies can enhance their market position and ensure long-term success.

Financial Ratios

Financial ratios are valuable tools used to assess the financial health and performance of a company. These ratios provide insights into various aspects of a business, such as profitability, liquidity, and solvency. By analyzing financial ratios, stakeholders can make informed decisions about investments, operations, and strategic planning.

Some important financial ratios include:

• Profitability ratios, which measure a company's ability to generate profit.
• Liquidity ratios, which indicate how well a company can cover short-term obligations.
• Solvency ratios, which assess long-term financial stability.

Understanding and utilizing financial ratios can lead to more strategic financial management and better decision-making.