/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 21 Fill in the blanks for each of t... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Fill in the blanks for each of the following independent cases. $$\begin{array}{cccccc} & & \text { Variable } & & & \text { Operating } & \text { Contribution } \\\\\text { Case } & \text { Revenues } & \text { costs } & \text { Fixed costs } & \text { Total costs } & \text { Income} & \text { Margin Percentage } \\\\\hline \text { a. } & & \$ 600 & & \$ 800 & \$ 1,600 & \\\\\text { b. } & \$ 2,500 & & \$ 200 & & \$ 900 & \\\\\text { c. } & \$ 500 & \$ 300 & & \$ 500 & & \\\\\text { d. } & \$ 1,200 & & \$ 200 & & & 25 \%\end{array}$$

Short Answer

Expert verified
Short Answer: Case a: Revenues = $3,000, Variable costs = $600, Fixed costs = $800, Total costs = $1,400, Operating Income = $1,600, Contribution Margin Percentage = 53.33% Case b: Revenues = $2,500, Variable costs = $1,400, Fixed costs = $200, Total costs = $1,600, Operating Income = $900, Contribution Margin Percentage = 36% Case c: Revenues = $500, Variable costs = $300, Fixed costs = $200, Total costs = $500, Operating Income = $0, Contribution Margin Percentage = 0 Case d: Revenues = $1,200, Variable costs = $700, Fixed costs = $200, Total costs = $900, Operating Income = $300, Contribution Margin Percentage = 25%

Step by step solution

01

Case a.

Given: Variable costs = \(600, Fixed costs = \)800, Operating Income = $1,600 1. Calculate Total costs: Total costs = Fixed costs + Variable costs = \(800 + \)600 = $1,400 2. Calculate Revenues: Revenues = Total costs + Operating Income = \(1,400 + \)1,600 = $3,000 3. Calculate Contribution Margin Percentage: Contribution Margin Percentage = (Operating Income / Revenues) x 100 = (\(1,600 / \)3,000) x 100 = 53.33%
02

Case b.

Given: Revenues = \(2,500, Fixed costs = \)200, Operating Income = $900 1. Calculate Total costs: Total costs = Revenues - Operating Income = \(2,500 - \)900 = $1,600 2. Calculate Variable costs: Variable costs = Total costs - Fixed costs = \(1,600 - \)200 = $1,400 3. Calculate Contribution Margin Percentage: Contribution Margin Percentage = (Operating Income / Revenues) x 100 = (\(900 / \)2,500) x 100 = 36%
03

Case c.

Given: Revenues = \(500, Variable costs = \)300, Total costs = $500 1. Calculate Fixed costs: Fixed costs = Total costs - Variable costs = \(500 - \)300 = $200 2. Calculate Operating Income: Operating Income = Revenues - Total costs = \(500 - \)500 = $0 3. Calculate Contribution Margin Percentage: Since Operating Income is $0, Contribution Margin Percentage = 0
04

Case d.

Given: Revenues = \(1,200, Fixed costs = \)200, Contribution Margin Percentage = 25% 1. Calculate Operating Income: Operating Income = (Contribution Margin Percentage / 100) x Revenues = (25% / 100) x \(1,200 = \)300 2. Calculate Total costs: Total costs = Revenues - Operating Income = \(1,200 - \)300 = $900 3. Calculate Variable costs: Variable costs = Total costs - Fixed costs = \(900 - \)200 = $700

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

Key Concepts

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

Contribution Margin Percentage
The concept of contribution margin percentage is crucial for businesses to determine how much of their sales revenue is actually contributing to covering fixed costs and generating profit. In simple terms, it represents the portion of sales that helps to 'contribute' to offsetting fixed expenses after variable costs have been paid.

For instance, if a company sells a product for \( \(100 \) with variable costs of \( \)60 \), the remaining \( $40 \) is the contribution margin. To find the contribution margin percentage, we would take the contribution margin and divide it by the sales revenue and then multiply by 100. In our example, \( (40 / 100) \times 100 \) equals a 40% contribution margin percentage. This indicates that for every dollar of revenue, the company retains 40 cents toward its fixed costs and profit.

The higher the percentage, the more efficiently a company is producing and selling its products relative to its variable costs. Understanding this percentage is essential for making pricing decisions, budgeting, and forecasting the business's financial health.
Operating Income Calculation
Operating income, also known as operating profit or operating earnings, is a measure of the profit a company generates from its operations, before subtracting interest and taxes. It is calculated after deducting operating expenses, such as wages, raw materials and overhead, from gross income.

To calculate operating income, we start with the company's total revenue and subtract the cost of goods sold (COGS) to get the gross profit. Then, we subtract the company's operating expenses from the gross profit. Operating expenses typically include both fixed and variable costs, such as rent, utilities, salaries, and materials.

Formula:

Operating Income = Revenue - COGS - Operating Expenses

It's important to note that non-operating items, such as investment income or expenses unrelated to the core business activities, are not included when calculating operating income. This metric provides stakeholders with a clear view of a company’s operational efficiency and profitability.
Fixed and Variable Costs
Costs are broadly categorized into two types: fixed and variable costs. This classification helps businesses in planning, controlling, and making informed decisions.

Fixed Costs:

Fixed costs do not change with the volume of production or the level of services provided. They are 'fixed' over a specified period and include expenses like rent, salaries of permanent staff, insurance, and depreciation. Whether a company makes 10 units or 1,000 units, these costs remain constant.

Variable Costs:

Variable costs, on the other hand, fluctuate directly with production levels. These costs include raw materials, production supplies, and commissions. As production volume increases, variable costs rise proportionately.

When budgeting and forecasting, it's crucial for a company to understand the behavior of these costs. High fixed costs require a company to generate significant sales to break-even, whereas high variable costs indicate that profitability could be more sensitive to fluctuations in sales volume. Monitoring the balance of these costs is fundamental for any business strategy and financial management.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

How can a company with multiple products compute its breakeven point?

Define contribution margin, contribution margin per unit, and contribution margin percentage.

\((\mathrm{CMA},\) adapted) Zahner Corporation manufactures housewares products that are sold through a network of external sales agents. The agents are paid a commission of \(20 \%\) of revenues. Zahner is considering replacing the sales agents with its own salespeople, who would be paid a commission of \(10 \%\) of revenues and total salaries of \(\$ 3,520,000 .\) The income statement for the year ending December \(31,2017,\) under the two scenarios is shown here. 1. Calculate Zahner's 2017 contribution margin percentage, breakeven revenue, and degree of operating leverage under the two scenarios. 2\. Describe the advantages and disadvantages of each type of sales alternative. 3\. In \(2018,\) Zahner uses its own salespeople, who demand a \(15 \%\) commission. If all other cost-behavior patterns are unchanged, how much revenue must the salespeople generate in order to earn the same operating income as in \(2017 ?\)

Give an example of how a manager can decrease variable costs while increasing fixed costs.

Genesee Music Society is a not-for-profit organization that brings guest artists to the community's greater metropolitan area. The music society just bought a small concert hall in the center of town to house its performances. The lease payments on the concert hall are expected to be \(\$ 4,000\) per month. The organization pays its guest performers \(\$ 1,800\) per concert and anticipates corresponding ticket sales to be \(\$ 4,500\) per concert. The music society also incurs costs of approximately \(\$ 1,000\) per concert for marketing and advertising. The organization pays its artistic director \(\$ 33,000\) per year and expects to receive \(\$ 30,000\) in donations in addition to its ticket sales. 1\. If the Genesee Music Society just breaks even, how many concerts does it hold? 2\. In addition to the organization's artistic director, the music society would like to hire a marketing director for \(\$ 25,500\) per year. What is the breakeven point? The music society anticipates that the addition of a marketing director would allow the organization to increase the number of concerts to 41 per year. What is the music society's operating income/(lloss) if it hires the new marketing director? 3\. The music society expects to receive a grant that would provide the organization with an additional \(\$ 17,000\) toward the payment of the marketing director's salary. What is the breakeven pointif the music society hires the marketing director and receives the grant?

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.