Problem 9 - Accounting

Question

a. Bert Company budgets sales of \(\$ 1,250,000\), fixed costs of \(\$ 450,000\), and variable costs of \(\$ 200,000\). What is the contribution margin ratio for Bert Company? b. If the contribution margin ratio for Ernie Company is \(40 \%\), sales were \(\$ 750,000\), and fixed costs were \(\$ 225,000\), what was the income from operations?

Step-by-Step Solution

Answer

a. 84% contribution margin ratio. b. $75,000 income from operations.

Step 1: Understanding Contribution Margin

The contribution margin is the amount remaining from sales revenue after deducting variable costs. It is used to cover fixed costs and any remaining amount contributes to net income.

Step 2: Calculating Contribution Margin for Bert Company

The contribution margin is calculated by subtracting variable costs from sales. For Bert Company:\[\text{Contribution Margin} = \text{Sales} - \text{Variable Costs} = \\(1,250,000 - \\)200,000 = \$1,050,000\]

Step 3: Calculating Contribution Margin Ratio for Bert Company

The contribution margin ratio is the contribution margin expressed as a percentage of sales:\[\text{Contribution Margin Ratio} = \left(\frac{\text{Contribution Margin}}{\text{Sales}}\right) \times 100 = \left(\frac{\\(1,050,000}{\\)1,250,000}\right) \times 100 = 84\%\]

Step 4: Understanding Income from Operations

Income from operations is the amount remaining after both variable and fixed costs are deducted from sales.

Step 5: Calculating Income from Operations for Ernie Company

First, calculate the contribution margin from the contribution margin ratio:\[\text{Contribution Margin} = \text{Sales} \times \text{Contribution Margin Ratio} = \\(750,000 \times 0.40 = \\)300,000\]Then, subtract the fixed costs from the contribution margin to find the income from operations:\[\text{Income from Operations} = \text{Contribution Margin} - \text{Fixed Costs} = \\(300,000 - \\)225,000 = \$75,000\]

Key Concepts

Fixed Costs

Fixed costs represent those costs that do not change with the level of production or sales volume. No matter how much or how little Bert Company or Ernie Company sells, these costs will remain constant over a particular period. This could include expenses like rent, salaries for permanent staff, or insurance. It's important for businesses to manage these costs efficiently, as they contribute significantly to the determination of profitability.

Key characteristics of fixed costs include:

• Unchanged over the short term despite fluctuations in production.
• Usually incurred over time, such as monthly rent or annual insurance premiums.
• Constitutes a base level of financial commitment.

Knowing fixed costs helps companies plan their budgets and predict their break-even points, which is essential for setting viable sales targets.

Variable Costs

Variable costs, unlike fixed costs, do fluctuate with changes in production levels. For Bert Company, this would mean costs that increase as more products are produced or sold, such as raw materials and direct labor fees tied to production. These costs are highly flexible and can be adjusted based on the firm's sales forecast.

Some vital points about variable costs include:

• Directly proportional to the volume of goods or services produced.
• Includes costs like raw materials, packaging, and labor directly involved in production.
• Provides insight into cost management and efficiency in production.

Effective management of variable costs is crucial because while they can be controlled in the short term, they also directly affect the contribution margin and overall profitability of a business.

Income from Operations

Income from operations is critical for assessing a company's profitability from primary business functions, excluding revenue from non-operating activities like investments or one-time gains. It provides insight into the effectiveness of the company's core operations.

For Ernie Company, knowing the income from operations gives clear insight into how well the company held up against variable costs and the burden of fixed costs.

• Calculated by deducting both fixed and variable costs from sales revenue.
• Emphasizes the profitability from everyday business activities.
• Serves as a measure of operational efficiency and the ability to cover fixed financial commitments and generate profit.

By focusing on improving their income from operations, companies can enhance their performance, ensuring sustainable growth and investor confidence.