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Computing and Using the CM Ratio LO5-3 Last month when Holiday Creations, Inc., sold 50,000 units, total sales were \(\$ 200,000\), total variable expenses were \(\$ 120,000\), and fixed expenses were \(\$ 65,000\). Required: 1\. What is the company's contribution margin (CM) ratio? 2\. What is the estimated change in the company's net operating income if it can increase total sales by \(\$ 1,000\) ?

Short Answer

Expert verified
The company's CM ratio is 40%. The estimated change in the company's net operating income with a \$1,000 increase in total sales is \$400.

Step by step solution

01

Calculate the Contribution Margin (CM)

To calculate the Contribution Margin (CM), subtract the total variable expenses from the total sales: \( CM = Total\text{ }Sales - Total\text{ }Variable\text{ }Expenses \). Then, use the given values: \( CM = \$200,000 - \$120,000 = \$80,000 \).
02

Calculate the CM Ratio

The CM ratio is found by dividing the contribution margin (CM) by the total sales: \( CM\text{ }Ratio = \frac{CM}{Total\text{ }Sales} \). Apply the values: \( CM\text{ }Ratio = \frac{\$80,000}{\$200,000} = 0.4 \) or 40%.
03

Compute the Change in Net Operating Income

To estimate the change in the company's net operating income due to a \$1,000 increase in sales, multiply the CM ratio by the increase in total sales: \( Change\text{ }in\text{ }Net\text{ }Operating\text{ }Income = CM\text{ }Ratio \times Increase\text{ }in\text{ }Sales \). Using the calculated CM Ratio: \( Change\text{ }in\text{ }Net\text{ }Operating\text{ }Income = 0.4 \times \$1,000 = \$400 \).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Managerial Accounting
Managerial accounting focuses on providing financial information within a company to assist management in making well-informed business decisions. Unlike financial accounting, which concentrates on external reporting, managerial accounting is primarily concerned with internal analysis, planning, and control.

In the context of contribution margin ratio (CM ratio), managerial accounting evaluates the profitability of individual items and the company as a whole. This involves calculations that help in determining the impact of sales, costs, and pricing on the company's profitability. The CM ratio is an example of a managerial accounting tool designed to assess the portion of revenue that exceeds variable costs, effectively measuring how sales affect operating income.

The CM ratio is crucial for short-term decision-making. For instance, if a company is faced with an opportunity to reduce prices to increase sales volume, the CM ratio can help determine whether the reduced prices will still cover variable expenses and contribute to fixed costs and profits.
Operating Income
Operating income represents the profit a company makes from its normal business operations after subtracting both variable and fixed expenses from its revenues. It provides a clear picture of the profitability derived from a company's core business, prior to any deductions for interest and taxes.

To understand the relationship between operating income and the CM ratio, one must grasp the flow of income in a business. Once a company earns revenue from sales, it first covers the variable expenses. The remaining amount, known as the contribution margin, then contributes to covering fixed costs. Any excess constitutes the operating income.

The CM ratio is pivotal because it determines how changes in sales levels affect operating income. Through managerial accounting practices, companies use the CM ratio to project and analyze the potential increase in operating income for every additional dollar of sales revenue, guiding strategic decisions about product pricing, cost control, and sales initiatives.
Variable Expenses
Variable expenses are costs that change in proportion to a company's production volume or business activity levels. Unlike fixed expenses, such as rent or salaries, which remain constant regardless of output, variable expenses fluctuate with the level of production or sales.

Examples of variable expenses include raw materials, production supplies, and sales commissions. As production increases, more materials and labor are typically required, leading to higher variable costs. Conversely, if production decreases, variable expenses will likewise drop.

Understanding variable expenses is critical when calculating the contribution margin (CM) and the CM ratio. These expenses are subtracted from sales revenue to determine the CM. A higher CM typically means that a greater portion of revenue can contribute to covering fixed expenses and generating profit. Analyzing variable expenses can help management identify cost-saving opportunities and make strategic decisions to enhance the CM ratio, ultimately influencing the company's operating income and financial health.

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Most popular questions from this chapter

Prepare a Cost-Volume-Profit (CVP) Graph LO5-2 Karlik Enterprises distributes a single product whose selling price is \(\$ 24\) per unit and whose variable expense is \(\$ 18\) per unit. The company's monthly fixed expense is \(\$ 24,000\). Required: 1\. Prepare a cost-volume-profit graph for the company up to a sales level of 8,000 units. 2\. Estimate the company's break-even point in unit sales using your cost- volume-profit graph.

Operating Leverage LO5–1, LO5–8 Magic Realm, Inc., has developed a new fantasy board game. The company sold 15,000 games last year at a selling price of \(20 per game. Fixed expenses associated with the game total \)182,000 per year, and variable expenses are $6 per game. Production of the game is entrusted to a printing contractor. Variable expenses consist mostly of payments to this contractor. Required: 1\. Prepare a contribution format income statement for the game last year and compute the degree of operating leverage. 2\. Management is confident that the company can sell 18,000 games next year (an increase of 3,000 games, or 20%, over last year). Given this assumption: a. What is the expected percentage increase in net operating income for next year? b. What is the expected amount of net operating income for next year? (Do not prepare an income statement; use the degree of operating leverage to compute your answer.)

Target Profit Analysis LO5-6 Lin Corporation has a single product whose selling price is \(\$ 120\) per unit and whose variable expense is \(\$ 80\) per unit. The company's monthly fixed expense is \(\$ 50,000\). Required: 1\. Calculate the unit sales needed to attain a target profit of \(\$ 10,000\). 2\. Calculate the dollar sales needed to attain a target profit of \(\$ 15,000\).

Break-Even Analysis; Pricing LO5–1, LO5–4, LO5–5 Minden Company introduced a new product last year for which it is trying to find an optimal selling price. Marketing studies suggest that the company can increase sales by 5,000 units for each \(2 reduction in the selling price. The company’s present selling price is \)70 per unit, and variable expenses are \(40 per unit. Fixed expenses are \)540,000 per year. The present annual sales volume (at the $70 selling price) is 15,000 units. Required: 1\. What is the present yearly net operating income or loss? 2\. What is the present break-even point in unit sales and in dollar sales? 3\. Assuming that the marketing studies are correct, what is the maximum annual profit that the company can earn? At how many units and at what selling price per unit would the company generate this profit? 4\. What would be the break-even point in unit sales and in dollar sales using the selling price you determined in (3) above (e.g., the selling price at the level of maximum profits)? Why is this break-even point different from the break-even point you computed in (2) above?

Break-Even Analysis LO5-5 Mauro Products distributes a single product, a woven basket whose selling price is \(\$ 15\) per unit and whose variable expense is \(\$ 12\) per unit. The company's monthly fixed expense is \(\$ 4,200\). Required: 1\. Calculate the company's break-even point in unit sales. 2\. Calculate the company's break-even point in dollar sales. 3\. If the company's fixed expenses increase by \(\$ 600\), what would become the new break-even point in unit sales? In dollar sales?

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