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Chapter 3: Problem 4

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

Short Answer

Expert verified
Contribution margin is the portion of sales revenue that remains after covering variable expenses, used to cover fixed costs and generate profit. Contribution margin per unit is calculated by subtracting the variable cost per unit from the selling price per unit, representing how much each unit contributes to covering fixed costs and generating profit. Contribution margin percentage is the ratio of contribution margin to sales revenue, indicating the percentage of sales revenue effectively used to cover fixed costs and generate profit.

Step by step solution

01

Contribute Margin

The contribution margin is a financial metric that calculates the profitability for individual items that a company makes and sells. Specifically, the term contribution refers to the "portion" of the sales revenue that remains after variable expenses have been paid. It is the amount of money that is contributed towards covering the fixed costs of a company or towards making a profit.
02

Contribution Margin Per Unit

The contribution margin per unit is calculated by subtracting the variable cost per unit from the selling price per unit. In other words, it is the amount of money that each unit contributes to covering fixed costs and generating profit after accounting for all the variable costs involved in producing the unit. The formula for calculating contribution margin per unit is: Contribution Margin Per Unit = Selling Price Per Unit - Variable Cost Per Unit
03

Contribution Margin Percentage

Contribution margin percentage is a ratio that compares the contribution margin to sales revenue. It indicates the percentage of sales revenue that is available to cover fixed costs and generate profit. The higher the percentage, the more sales revenue is being used effectively to cover fixed costs and generate profit. The formula for calculating contribution margin percentage is: Contribution Margin Percentage = (Contribution Margin / Sales Revenue) 脳 100 In summary, the contribution margin, contribution margin per unit, and contribution margin percentage are essential metrics that help businesses to assess their profitability and determine how well they are using their sales revenue to cover fixed costs and generate profit.

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Key Concepts

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

Contribution Margin Per Unit
Understanding the contribution margin per unit is crucial for any business to gauge the profitability of individual products. This metric tells us how much revenue is left from each unit sale after variable costs have been subtracted. Here's the simple formula for it:
\textbf{Contribution Margin Per Unit} = Selling Price Per Unit - Variable Cost Per Unit
For example, if a company sells a product for \(50 and the variable cost per unit is \)30, then the contribution margin per unit would be \(20. This \)20 is what's available to contribute towards covering fixed costs and, eventually, to profits. It's essential for businesses to keep this number positive, as a negative contribution margin per unit indicates that the product is not even covering its variable costs, let alone contributing to fixed costs or profits.
Contribution Margin Percentage
The contribution margin percentage expands on the per-unit view by expressing the contribution margin as a proportion of total sales revenue. This metric offers insight into how much of each dollar of sales contributes to covering fixed costs and generating profit. The formula to determine this percentage is:
\textbf{Contribution Margin Percentage} = (\text{Contribution Margin} / \text{Sales Revenue}) \times 100
To illustrate, if a business has a total sales revenue of \(100,000 and a contribution margin of \)40,000, then the contribution margin percentage is 40%. This figure means 40 cents of every dollar of sales helps to cover fixed costs and profit. A high percentage denotes efficient management of variable costs and a robust contribution toward fixed expenses.
Variable Costs
Variable costs play a pivotal role in the determination of the contribution margin. These costs vary in direct proportion to the quantity of production or sales volume. Instances of variable costs include raw materials, direct labor, and any other costs that fluctuate with production levels.
  • Raw Materials: The more products you make, the more materials you use.
  • Direct Labor: More hours may be needed in production or sales with increased volume.
  • Shipping Fees: Higher sales typically mean more shipments.
When calculating the contribution margin, it's imperative to precisely track these costs, as they directly impact the profitability of each unit sold.
Fixed Costs
In contrast to variable costs, fixed costs remain unchanged regardless of the business's production or sales volume. They are the inevitable expenses that a company must pay on a regular basis, like rent, salaries, insurance, and loan payments.
Comprehending fixed costs is important because the contribution margin deduced from each product sale is utilized to cover these costs. Once all fixed costs are met, the remaining contribution margin represents the company's profit. Hence, managing fixed costs is just as crucial as managing variable costs for a business's financial well-being.

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Most popular questions from this chapter

Megaphone Corporation produces a molded plastic casing, M\&M101, for many cell phones currently on the market. Summary data from its 2017 income statement are as follows: Joshua Kirby, Megaphone's president, is very concerned about Megaphone Corporation's poor profitabil ity. He asks Leroy Gibbs, production manager, and Tony DiNunzo, controller, to see i i there are ways to reduce costs After 2 weeks, Leroy returns with a proposal to reduce variable costs to 55\% of revenues by reducing the costs Megaphone currently incurs for safe disposal of wasted plastic. Tony is concerned that this would expose the company to potential environmental liabilitities. He tells Leroy, "We would need to estimate some of these potential environmental costs and include them in our analysis." "You can't do that," Leroy replies. "We are not violating any laws. There is some possibility that we may have to incur environmental costs in the future, but if we bring it up now, this proposal will not go through because our senior managementt danger of shutting down the company and costing all of us our jobs. The only reason our competitors are making money is because they are doing exactly what lam proposing. 1\. Calculate Megaphone Corporation's breakeven revenues for 2017 2\. Calculate Megaphone Corporation's breakeven revenues if variable costs are 55\% of revenues. 3\. Calculate Megaphone Corporation's operating income for 20171 it variable costs had been 55\% of revenues. 4\. Given Leroy Gibbs's comments, what should Tony DiNunzo do?

"In CVP analysis, gross margin is a less-useful concept than contribution margin." Do you agree? Explain briefly.

\((\mathrm{CMA},\) 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 \(2017 ?\)

Lifetime Escapes generates average revenue of \(\$ 7,500\) per person on its 5-day package tours to wildlife parks in Kenya. The variable costs per person are as follows: $$\begin{array}{lr} \text { Airfare } & \$ 1,600 \\\\\text { Hotel accommodations } & 3,100 \\\\\text { Meals } & 600 \\\\\text { Ground transportation } & 300 \\\\\text { Park tickets and other costs } & 700 \\\\\text { Total } & \frac{11}{\$ 6,300}\end{array}$$ Annual fixed costs total \(\$ 570,000\) 1\. Calculate the number of package tours that must be sold to break even. 2\. Calculate the revenue needed to earn a target operating income of \(\$ 102,000\). 3\. If fixed costs increase by \(\$ 19,000\), what decrease in variable cost per person must be achieved to maintain the breakeven point calculated in requirement \(1 ?\) 4\. The general manager at Lifetime Escapes proposes to increase the price of the package tour to \(\$ 8,200\) to decrease the breakeven point in units. Using information in the original problem, calculate the new breakeven point in units. What factors should the general manager consider before deciding to increase the price of the package tour?

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