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Perfect stampers makes and sells aftermarket hub caps. The variable cost for each hub cap is \( \$ 4.75 \), and the hub cap sells for \( \$ 9.95 \). Perfect Stampers has fixed costs per month of \( \$ 3,120 \). Compute the contribution margin per unit and the break-even sales in units and in dollars for the month. Round the contribution margin per unit to two decimal places. Contribution margin Break-even sales in units Break-even sales in dollars

Ask by Cross Hampton. in the United States
Feb 26,2025

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Answer

Contribution margin per unit: \$5.20 Break-even sales in units: 600 units Break-even sales in dollars: \$5,970

Solution

We start by calculating the contribution margin per unit, which is the selling price minus the variable cost per unit. Contribution margin per unit = Selling price – Variable cost = \$9.95 – \$4.75 = \$5.20 Next, to find the break-even sales in units, divide the total fixed costs by the contribution margin per unit: Break-even units = Fixed costs / Contribution margin per unit = \$3,120 / \$5.20 = 600 units Finally, to calculate the break-even sales in dollars, multiply the break-even units by the selling price per unit: Break-even dollars = Break-even units × Selling price = 600 × \$9.95 = \$5,970 Summary: • Contribution margin per unit: \$5.20 • Break-even sales in units: 600 units • Break-even sales in dollars: \$5,970

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To calculate the contribution margin per unit, subtract the variable cost per hub cap from the selling price: Contribution Margin = Selling Price - Variable Cost Contribution Margin = \( 9.95 - 4.75 = 5.20 \) Next, we find the break-even sales in units by dividing the total fixed costs by the contribution margin per unit: Break-even Sales in Units = Fixed Costs / Contribution Margin Break-even Sales in Units = \( 3,120 / 5.20 \approx 600 \) units Now, to determine break-even sales in dollars, multiply the break-even sales in units by the selling price: Break-even Sales in Dollars = Break-even Sales in Units × Selling Price Break-even Sales in Dollars = \( 600 \times 9.95 = 5,970 \) So, the final results are: Contribution Margin: \( \$ 5.20 \) Break-even Sales in Units: \( 600 \) Break-even Sales in Dollars: \( \$ 5,970 \)

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