Problem 10 - Accounting

Question

For a recent year, McDonald's had the following sales and expenses (in millions): Assume that the variable costs consist of food and packaging, payroll, and \(40 \%\) of the general, selling, and administrative expenses. a. What is McDonald's contribution margin? Round to the nearest million. b. What is McDonald's contribution margin ratio? Round to two decimal places. c. How much would income from operations increase if same-store sales increased by \(\$ 450\) million for the coming year, with no change in the contribution margin ratio or fixed costs?

Step-by-Step Solution

Answer

a) Contribution margin: Calculate using sales and variable costs. b) Contribution margin ratio: Divide contribution margin by sales. c) Increase in income: Contribution margin ratio times $450 million.

Step 1: Identify Components of Total Costs

To find the contribution margin, let's first identify the various components of total costs. From the provided information, we have sales and various expenses. The expenses are food and packaging costs, payroll, and general, selling, and administrative expenses (GS&A). Notably, 40% of GS&A expenses are variable costs.

Step 2: Calculate Total Variable Costs

Given that food and packaging, as well as payroll expenses, are entirely variable, we add them with 40% of the GS&A expenses to find the total variable costs: \[\text{Total Variable Costs} = \text{Food and Packaging} + \text{Payroll} + 0.4\times \text{GS&A}.\]

Step 3: Compute Contribution Margin

The contribution margin is calculated by subtracting the total variable costs from the sales:\[\text{Contribution Margin} = \text{Sales} - \text{Total Variable Costs}.\] Round this value to the nearest million.

Step 4: Determine Contribution Margin Ratio

The contribution margin ratio is found by dividing the contribution margin by the sales:\[\text{Contribution Margin Ratio} = \frac{\text{Contribution Margin}}{\text{Sales}}.\]Multiply by 100 to convert to a percentage, and round to two decimal places.

Step 5: Calculate Potential Increase in Income from Operations

If same-store sales increase by $450 million, with a constant contribution margin ratio and no change in fixed costs, the increase in income from operations is determined as follows:\[\text{Increase in Income from Operations} = \text{Contribution Margin Ratio} \times 450.\]

Key Concepts

Variable Costs

Variable costs refer to expenses that change directly in relation to the production level or sales volume of a company. In the provided exercise, McDonald's variable costs include food and packaging, payroll expenses, and 40% of their general, selling, and administrative (GS&A) expenses. These types of costs vary because they depend on the quantity of goods that are sold and produced.

• **Food and Packaging:** This directly depends on the amount of food produced and sold at McDonald's restaurants. More sales mean higher food and packaging costs.
• **Payroll Expenses:** These costs can fluctuate with the number of employees working and the hours they work, which is often linked to the restaurant’s sales volume.
• **40% of GS&A Expenses:** In the problem, it's assumed that nearly half of GS&A expenses vary with the level of sales. This includes costs like marketing and some operational expenses.

To calculate total variable costs, one combines all these components, ensuring accurate determination of the expenses that change with the level of output.

Fixed Costs

Fixed costs are expenses that remain unchanged regardless of the level of production or sales volume. They are the same every month, quarter, or year and must be paid irrespective of the business activity level. In McDonald's case, fixed costs may include expenses such as property leases, fixed salaries, machinery depreciation, and a portion of GS&A expenses not associated with production levels. Here’s why fixed costs matter:

• They are necessary for businesses to maintain operational workspaces and infrastructure.
• Understanding them is crucial for decision-making, especially for estimating break-even points and making investment decisions.

For efficient financial planning, businesses need to separate these expenses from variable costs to understand which costs are in control and which are not.

Contribution Margin Ratio

The contribution margin ratio is a key metric for understanding how much each sales dollar contributes to cover fixed costs and generate profit. It's derived from the contribution margin, which is the difference between total sales and total variable costs. This ratio is calculated as:\[\text{Contribution Margin Ratio} = \frac{\text{Contribution Margin}}{\text{Sales}} \times 100\]
This percentage helps businesses gauge the profitability of their products after accounting for variable costs. A higher contribution margin ratio suggests that a larger portion of sales is available to cover fixed costs and produce profit. For McDonald's, maintaining or increasing this ratio can improve their profitability, making every dollar of sales more beneficial toward covering fixed costs and earning profit.

Income from Operations

Income from operations, or operating income, represents the profit a business makes from its normal business activities, excluding any income or losses from other areas such as investments or taxes. In the context of McDonald's exercise, one key scenario is understanding how a change in sales, such as their same-store sales increasing by $450 million, affects operating income.

• To calculate the impact, the exercise uses the contribution margin ratio. This ratio indicates how much of each additional dollar of sales will contribute to covering fixed costs and increasing income.
• The potential increase in income from operations can be calculated using the formula:\[\text{Increase in Income from Operations} = \text{Contribution Margin Ratio} \times 450\]This approach shows how sensitive a company's income is to changes in sales volume.

Understanding this concept allows businesses to strategize effectively for growth and profitability, focusing on sales that maximize operational income.