Problem 12 - Accounting

Question

Anheuser-Busch Companies, Inc., reported the following operating information for a recent year (in millions): In addition, Anheuser-Busch sold 136 million barrels of beer during the year. Assume that variable costs were \(70 \%\) of the cost of goods sold and \(45 \%\) of marketing and distribution expenses. Assume that the remaining costs are fixed. For the following year, assume that Anheuser-Busch expects pricing, variable costs per barrel, and fixed costs to remain constant, except that new distribution and general office facilities are expected to increase fixed costs by \(\$ 133\) million. Rounding to the nearest cent: a. Compute the break-even sales (barrels) for the current year. b. Compute the anticipated break-even sales (barrels) for the following year.

Step-by-Step Solution

Answer

Calculate current and next year's break-even barrels using costs and new adjustments.

Step 1: Identify and Segregate Costs

You'll first need to identify the variable and fixed components from the cost provided. If the variable costs are 70% of the cost of goods sold (COGS) and 45% of the marketing and distribution expenses, the remaining percentage would be fixed costs. This segregation helps determine the cost structure.

Step 2: Calculate Total Variable and Fixed Costs

Calculate the total variable costs using the given percentages and subtract them from the total costs to find the fixed costs. Let COGS be the total cost of goods sold and M&D represent marketing and distribution expenses:\[ \text{Variable Cost of COGS} = 0.7 \times COGS \]\[ \text{Variable Cost of M&D} = 0.45 \times M&D \]\[ \text{Fixed Cost of COGS} = 0.3 \times COGS \]\[ \text{Fixed Cost of M&D} = 0.55 \times M&D \] Sum the variable costs for the total variable cost, and sum fixed costs for the total fixed cost.

Step 3: Compute Contribution Margin per Barrel

The contribution margin per barrel is the selling price per barrel minus the variable cost per barrel. Assume the total sales are equally distributed over 136 million barrels.

Step 4: Calculate Break-even Sales for Current Year

Use the formula for the break-even point in units (barrels):\[ \text{Break-even Point (barrels)} = \frac{\text{Total Fixed Costs}}{\text{Contribution Margin per Barrel}} \]This will give the number of barrels that need to be sold to break even in the current year.

Step 5: Adjust Fixed Costs for the Following Year

Add the expected increase of \( \$133 \text{ million} \) to the fixed costs for the following year to account for new facilities.

Step 6: Calculate Break-even Sales for Following Year

Using the adjusted fixed costs from Step 5, recalculate the break-even point for the following year with the same formula from Step 4.\[ \text{Break-even Point (barrels following year)} = \frac{\text{Total New Fixed Costs}}{\text{Contribution Margin per Barrel}} \]

Key Concepts

Contribution Margin

The contribution margin is a crucial concept in break-even analysis, as it helps determine the profitability of each product unit sold. The contribution margin per barrel is calculated by subtracting the variable cost per barrel from the selling price per barrel. It essentially tells us how much each barrel contributes to covering the fixed costs once variable costs are accounted for.
The formula to compute the contribution margin per barrel is: - Selling Price per Barrel - Variable Cost per Barrel.
Understanding the contribution margin assists businesses in setting the right pricing strategy and making informed decisions about increasing sales or reducing costs to enhance profitability.

Fixed Costs

Fixed costs are the expenses that remain constant regardless of the volume of goods or services produced. They do not fluctuate with production levels or sales revenue. Examples of fixed costs include rent, salaries, and insurance.
In the given exercise, fixed costs are determined after identifying the percentage of costs that are variable. The remaining portion becomes the fixed cost component.

• Fixed Cost of COGS = 0.3 × Cost of Goods Sold
• Fixed Cost of Marketing & Distribution = 0.55 × Marketing & Distribution Expenses

By understanding fixed costs, businesses can predict their expenditure consistently and plan accordingly to achieve break-even and profitability.

Variable Costs

Variable costs fluctuate with the level of production or sales volume. They change based on the amount of goods or services a company produces or sells. In this problem, it is assumed that variable costs account for 70% of the cost of goods sold and 45% of marketing and distribution expenses.

• Variable Cost of COGS = 0.7 × Cost of Goods Sold
• Variable Cost of Marketing & Distribution = 0.45 × Marketing & Distribution Expenses

These percentages help determine the cost structure, which is a vital part of analyzing and managing overall business expenses. Businesses monitor variable costs closely to maintain control over their profitability margins.

Cost Structure Analysis

A comprehensive cost structure analysis involves understanding both fixed and variable costs. Recognizing the proportion of each helps in making strategic decisions about cost management and pricing. The goal is to efficiently balance costs with sales to ensure profitability.
In the context of break-even analysis: - Fixed costs need to be covered by the contribution margin to achieve break-even. - Analysis of variable costs helps maintain a desired profit margin.
Through cost structure analysis, companies can predict how changes in production levels or pricing will impact profits. It assists in identifying the break-even point, which is crucial for navigating financial planning and setting long-term business goals.