How is the break-even point defined in units and dollars?

How is the break-even point defined in units and dollars?

• A. The level of sales where total revenue equals total costs, resulting in zero profit; in units it is fixed costs divided by contribution margin per unit, in dollars it's break-even units times price.
• B. The level of sales where profit equals total fixed costs.
• C. The level of revenue that exceeds total costs by the margin of safety.
• D. The minimum price needed to cover costs.

Answer: (A)

Break-even is the point where revenue just covers all costs, so profit is zero. In units, you reach break-even by dividing fixed costs by the contribution margin per unit (selling price minus variable cost per unit). In dollars, you can either multiply that break-even unit quantity by the selling price, or divide fixed costs by the contribution margin ratio (the portion of each sales dollar that goes to cover costs). This captures both how many units you must sell and the corresponding revenue needed to cover everything. The other ideas miss this balance: breaking even isn’t about profit equaling fixed costs, and it's not about a margin of safety (which measures how much actual sales exceed break-even). It also isn’t simply about a minimum price to cover costs, since quantity is essential to determine where costs are fully covered.

Break-even is the point where revenue just covers all costs, so profit is zero. In units, you reach break-even by dividing fixed costs by the contribution margin per unit (selling price minus variable cost per unit). In dollars, you can either multiply that break-even unit quantity by the selling price, or divide fixed costs by the contribution margin ratio (the portion of each sales dollar that goes to cover costs). This captures both how many units you must sell and the corresponding revenue needed to cover everything.

The other ideas miss this balance: breaking even isn’t about profit equaling fixed costs, and it's not about a margin of safety (which measures how much actual sales exceed break-even). It also isn’t simply about a minimum price to cover costs, since quantity is essential to determine where costs are fully covered.