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Salted Munchies, Inc. manufactures and sells two products, potato chips and pretzels. The fixed costs are \(\$ 300,000\), and the sales mix is \(60 \%\) potato chips and \(40 \%\) pretzels. The unit selling price and the unit variable cost for each product are as follows: $$ \begin{array}{lcc} \text { Products } & \text { Unit Selling Price } & \text { Unit Variable Cost } \\ \hline \text { Potato Chips } & \$ 2.80 & \$ 1.10 \\ \text { Pretzels } & 2.00 & 0.80 \end{array} $$ a. Compute the break-even sales (units) for the overall product, E. b. How many units of each product, potato chips and pretzels, would be sold at the break-even point?

Short Answer

Expert verified
Break-even sales are 200,000 units: 120,000 potato chips and 80,000 pretzels.

Step by step solution

01

Calculate the Contribution Margin per Unit

To find the contribution margin for each product, subtract the unit variable cost from the unit selling price. For potato chips, it's \(2.80 - 1.10 = 1.70\). For pretzels, it's \(2.00 - 0.80 = 1.20\).
02

Determine the Weighted Average Contribution Margin

Using the sales mix, calculate the weighted average contribution margin: \((0.60 \times 1.70) + (0.40 \times 1.20)\). This equals \(1.02 + 0.48 = 1.50\).
03

Calculate the Break-even Sales in Units

The formula for break-even sales in units is \(\frac{\text{Fixed Costs}}{\text{Weighted Average Contribution Margin}}\). Using the values, \(\frac{300,000}{1.50} = 200,000\) units.
04

Allocate Break-even Units to Each Product

Apply the sales mix to determine units for each product. For potato chips: \(0.60 \times 200,000 = 120,000\). For pretzels: \(0.40 \times 200,000 = 80,000\).

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Key Concepts

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

Contribution Margin
Understanding the concept of Contribution Margin is key to grasping how businesses evaluate their profitability on a per-product basis. The Contribution Margin is calculated by subtracting the unit variable cost from the unit selling price. This figure represents how much each unit sold contributes to covering fixed costs and generating profit. Once fixed costs are covered, any additional sales directly contribute to the business's profit.

Consider the example of Salted Munchies, Inc., with potato chips having a Contribution Margin of \(2.80 - 1.10 = 1.70\) per unit, and pretzels with \(2.00 - 0.80 = 1.20\) per unit. These figures tell us that each bag of potato chips sold makes a greater contribution to covering fixed costs than each bag of pretzels. Understanding which products generate a higher contribution margin can guide businesses in focusing their sales and marketing efforts.
Sales Mix
The Sales Mix is a crucial aspect that affects the overall profitability of a business when multiple products are sold. It refers to the proportion of each product sold relative to the total sales. When calculating break-even points and profitability, it's important to consider how changes in the sales mix can impact total revenue and profit.

In the context of Salted Munchies, Inc., the sales mix is set at 60% for potato chips and 40% for pretzels. This means that out of every 100 units sold, 60 are potato chips and 40 are pretzels. The sales mix affects the weighted average contribution margin, which is used to determine the break-even point in units. Changing the sales mix would alter the weighted average and, consequently, the number of units needed to break even. Analyzing the sales mix helps in making strategic decisions to optimize the product portfolio based on contribution margins.
Fixed Costs
Fixed Costs are expenses that remain constant regardless of the level of production or sales. They include costs like rent, salaries, and insurance, which do not fluctuate with production volumes. In break-even analysis, fixed costs are significant because they determine how much contribution margin is needed to start earning a profit.

For Salted Munchies, Inc., the fixed costs amount to $300,000. This means that the company needs to generate this amount through product sales before it can achieve profitability. Understanding fixed costs is essential for calculating the break-even sales, as it is the main expense that needs to be covered by the accumulated contribution margin. Managing and controlling fixed costs can strongly influence the break-even point and overall business profitability.
Variable Costs
Variable Costs fluctuate directly with the level of production or sales. They include costs such as raw materials, direct labor, and packaging, which increase as you produce more units. The variable cost per unit plays a critical role in determining the contribution margin and, subsequently, the profitability of individual products.

In the case of Salted Munchies, Inc., the potato chips have a variable cost of $1.10 per unit, while pretzels have a variable cost of $0.80 per unit. By computing these costs, businesses can determine their pricing strategies and assess profitability per product. Controlling variable costs effectively allows a company to increase its contribution margin and enhance its competitive advantage. Since variable costs impact the cost of goods sold, they are a key factor in financial planning and decision-making.

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Most popular questions from this chapter

Nextel Communications Inc. is one of the largest digital wireless service providers in the United States. In a recent year, it had 8,666,500 million handsets (accounts) that generated revenue of \(7,689,000,000. Costs and expenses for the year were as follows: Cost of revenue . . . . . . . . . . . . . . . . . . . . . . . . . . . . . \)2,869,000,000 Selling, general, and administrative expenses . . . . . . . 3,020,000,000 Depreciation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1,746,000,000 Assume that \(70 \%\) of the cost of revenue and \(40 \%\) of the selling, general, and administrative expenses are variable to the number of handsets (accounts). a. What is Nextel's break-even number of accounts, using the data and assumptions above? Round per-unit calculations to the nearest dollar. b. How much revenue per account would be sufficient for Nextel to break even if the number of accounts remained constant?

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The Anheuser Busch Corporation reported the following operating information for a recent year (in millions): $$ \text { "Before special items } $$ Net sales . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . \(12,911 Cost of goods sold . . . . . . . . . . . . . . . . . . . . . . . . . \) 7,950 Marketing and distribution . . . . . . . . . . . . . . . . . . . 2,256 \(10,206 Income from operations . . . . . . . . . . . . . . . . . . . . . \) 2,705* In addition, Anheuser Busch sold 107 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 $110 million. Rounding to the nearest cent: a. Compute the break-even sales (barrels) for the current year. b. Compute the anticipated break-even (barrels) for the following year.

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