Break-even analysis and how it informs pricing decisions.

• A. Calculates the total revenue at a given volume
• B. Assesses profitability after tax
• C. Determines the sales volume needed to cover costs
• D. Projects marketing ROI

Answer: (C)

Break-even analysis focuses on how much you must sell to cover all costs. It separates costs into fixed costs (unchanged with volume) and variable costs (change with each unit). The amount each unit contributes toward fixed costs and profit is the contribution margin per unit, calculated as price minus variable cost per unit. The break-even point in units is fixed costs divided by the contribution per unit, and the break-even revenue is fixed costs divided by the contribution margin ratio.

This concept directly informs pricing decisions. If you raise the price, the contribution per unit increases, meaning you need fewer units sold to break even; lowering the price reduces per-unit contribution and requires more units to reach break-even. When you have a target profit, you can adjust price or the expected volume to achieve that goal. For example, with fixed costs of 50,000 and variable cost per unit of 20, if you price each unit at 50, the contribution per unit is 30, so you need about 1,667 units to break even (50,000 / 30). If market demand can’t reach that volume at this price, you’d consider raising the price, cutting costs, or changing volume expectations to meet profitability.