A company sells a product for €36 per unit. The variable cost is €30 per unit and fixed costs are €15 000 per month. How many units Q must it sell per month to break even?
Find Q (units)
Show hints
- At break-even, total revenue equals total cost.
- Each unit contributes p − v towards the fixed costs.
- p − v = €6.
Show the answer and the step-by-step solution
Cost-volume-profit: each unit sold earns a contribution margin, price minus variable cost per unit. Profit = Q·(p − v) − F, where F is the fixed cost. At the break-even point profit is zero, so Q = F/(p − v).