Break-even analysis: how much do you need to sell?

More orders fill the schedule. What they add to profit depends on the price, the costs and the work you have room to take on.

Break-even analysis estimates the sales needed to cover the costs included in your model. For one product, divide fixed costs by the selling price per unit minus variable cost per unit. That difference is the contribution margin per unit.

Once you have that figure, compare it with expected orders, production capacity and a separate cash forecast.

Start with one month and one product

Consider an illustrative small manufacturer making a repeat product. This is a management planning example, not a client result or a financial statement.

• Selling price: $125 per unit, after discounts and excluding sales tax.
• Variable costs: $75 per unit sold, including all variable production and selling costs in this example.
• Fixed operating costs: $20,000 per month.
• Capacity: up to 600 units per month with the current resources.

Assume all units produced are sold, inventory does not change, the product mix is unchanged and costs behave as described throughout this range. Interest and income taxes are excluded, so the result measures operating profit.

Contribution per unit is $125 − $75 = $50. Break-even volume is $20,000 ÷ $50 = 400 units. Those 400 units generate $50,000 in sales.

Check the result: $50,000 sales − $30,000 variable costs − $20,000 fixed costs = $0 operating profit.

At 500 units, sales are $62,500, variable costs are $37,500 and operating profit is $5,000. Those additional 100 units contribute $50 each while fixed costs remain unchanged.

You can also calculate the sales dollars required

The contribution margin ratio is $50 ÷ $125 = 40%. Divide monthly fixed costs by that ratio: $20,000 ÷ 0.40 = $50,000 in break-even sales.

This is a contribution margin ratio, not necessarily the gross margin on your profit and loss statement. Separate variable costs from fixed costs before using it.

A discount changes the number of orders you need

Suppose a customer asks for a 10% discount. The new price is $112.50. If variable cost stays at $75, contribution falls to $37.50 per unit.

The new break-even calculation is $20,000 ÷ $37.50 = 533.33 units. Because this business sells whole units, round up to 534 units. At that volume, sales are $60,075 and operating profit is $25.

At 500 units, the discounted price produces a $1,250 operating loss. The original price produced a $5,000 operating profit at the same volume. The $6,250 difference is the $12.50 discount on each of 500 units.

The business can produce 600 units, so 534 is within its assumed capacity. But to earn the original $5,000 operating profit at the lower price, it would need ($20,000 + $5,000) ÷ $37.50 = 666.67 units, rounded up to 667. That exceeds its current capacity.

Before agreeing, find out what an extra shift, outside production or faster turnaround would cost. The original model stops being reliable when those costs change.

Can you sell enough, and can you fund the work?

At the original price, a plan to sell 500 units is 100 units above break-even. Sales could fall by 20% from that plan before reaching break-even, under the same assumptions.

Check that cushion against confirmed orders, expected cancellations and delivery dates. Keep forecast sales separate from work already booked.

Then prepare a separate cash forecast. Supplier deposits, inventory purchases, equipment payments and loan principal can require cash without appearing as current operating expenses in this model. Customers may also pay after you have paid for the work. See our production order cash example.

Build your own calculation from these records

1. Choose the period. Keep monthly sales, costs and capacity together. Do not divide annual fixed costs by a monthly sales plan.
2. Check realized prices. Use invoices and sales reports after discounts and allowances.
3. Separate cost behavior. Materials may vary with output. Payroll may be fixed, variable or stepped, depending on staffing and pay arrangements. Split mixed costs where the amounts matter.
4. Check the available capacity. Include bottlenecks, downtime and the resources needed to fulfill the orders.
5. Test one change at a time. Try a lower price, a higher material cost or fewer sales. Write down the assumptions beside each result.

When the assumptions change

What if I sell several products?

Use a weighted contribution margin based on a supported sales mix. Recalculate when the mix changes. Selling more of a lower-contribution product can raise the total sales needed to cover fixed costs.

What if contribution per unit is zero or negative?

With positive fixed costs, there is no finite break-even volume under those assumptions. More units at the same economics will not cover those fixed costs. Revisit the price, variable costs and product offering.

Cost planning with Beamarc

A lower quote or an extra production run changes more than the sales total. Beamarc's advisory work can include budgets, cost analysis and pricing scenarios to help you compare those choices. The analysis can use your existing records and be scoped alongside your current bookkeeping.

Explore Beamarc's manufacturing accounting services or request a consultation. Scope, responsibilities and fees are agreed in writing.