A company has fixed costs of $20,000 and a contribution margin of $5 per unit. H

Practice Questions

Q1
A company has fixed costs of $20,000 and a contribution margin of $5 per unit. How many units must be sold to break even?
  1. 2,000
  2. 4,000
  3. 1,000
  4. 5,000

Questions & Step-by-Step Solutions

A company has fixed costs of $20,000 and a contribution margin of $5 per unit. How many units must be sold to break even?
  • Step 1: Identify the fixed costs. In this case, the fixed costs are $20,000.
  • Step 2: Identify the contribution margin per unit. Here, the contribution margin is $5 per unit.
  • Step 3: Use the break-even formula, which is: Break-even point (units) = Fixed costs / Contribution margin per unit.
  • Step 4: Plug in the numbers: Break-even point (units) = $20,000 / $5.
  • Step 5: Calculate the result: $20,000 divided by $5 equals 4,000 units.
  • Step 6: Conclusion: The company must sell 4,000 units to break even.
  • Break-even Analysis – The process of determining the number of units that must be sold to cover fixed and variable costs.
  • Fixed Costs – Costs that do not change with the level of production or sales.
  • Contribution Margin – The amount each unit contributes to covering fixed costs and generating profit, calculated as sales price per unit minus variable costs per unit.
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