The break-even formula
Break-even is the volume at which contribution margin finally covers fixed costs:
contribution margin = price - variable cost per unit break-even units = fixed costs / contribution margin break-even revenue = break-even units x price margin of safety = (current units - break-even units) / current units
The split between fixed and variable is where most people get this wrong. Fixed costs are the ones that arrive whether you sell nothing or everything: rent, salaries, software. Variable costs belong to the unit: hosting for one more customer, payment fees, materials. Put a variable cost in the fixed pile and your break-even point is too high; put a fixed cost in the variable pile and it is too low in a way that flatters you.
Contribution margin is the lever worth attention. Raising the price a little moves it more than cutting variable cost a lot, because the price sits on the gross side of the subtraction. If you are close to break-even, a price rise usually beats a cost-cutting round, and it works immediately.
One caveat for subscription businesses: break-even in a month tells you less than whether you are default alive, because recurring revenue compounds while fixed costs mostly do not. Use this to size the gap, then check the trajectory.