What Factory Utilization Rate Is Needed to Make a Profit?
Calculate break-even utilization from capacity, selling price, unit variable cost, and fixed costs. Learn why yield, inventory, and additional shift costs make reported utilization alone insufficient to establish profitability.
Divide fixed costs by the contribution margin per saleable unit to obtain break-even sales volume, then divide by capacity for the same period to obtain a simple break-even utilization rate. First state the assumptions that all production is sold and selling prices and variable costs remain constant.
Use saleable output rather than production volume
Factory operating time and units sold to customers are not the same. High defect rates, trial production, or inventory accumulation can prevent earnings from improving even as reported utilization rises. If capacity is measured on an input basis, adjust it for yield to obtain capacity for good units. When processing times differ by product, capacity based on standard working hours may be more appropriate than a simple unit count. Clarify the meaning of utilization by checking the definition of maximum capacity, downtime for scheduled maintenance, and the mix of saleable products in your analysis.
Keep fixed- and variable-cost classifications consistent
The selling price per unit less variable cost per unit is the contribution available to cover fixed costs. Cost of sales can include fixed manufacturing overhead, so the accounting gross margin cannot be used directly as the contribution margin ratio. Where possible, split mixed costs such as electricity into a basic charge and a usage charge. Also distinguish accounting break-even, which includes depreciation in fixed costs, from simple cash break-even, which excludes it. Removing depreciation to calculate cash break-even does not eliminate the long-term need to replace equipment.
Check whether additional costs arise as profitability is reached
Higher utilization can bring extra costs such as night-shift premiums, outsourced processing, or rental of equipment at bottlenecks. Fixed costs may then rise in steps or unit variable costs may change, shifting the break-even point you initially calculated. A multiproduct factory’s result also varies with product contribution margins and the sales mix. When a company announces only a utilization target, check the selling prices and order volumes expected at that rate. Also calculate whether excessive discounting to achieve high utilization actually raises the break-even point.
Worked example
Hypothetical example: Assume annual capacity of 100,000 good units, a selling price of KRW 100,000 per unit, variable cost of KRW 60,000 per unit, and annual fixed costs of KRW 2.4 billion. Contribution per unit is KRW 40,000. Break-even sales volume is KRW 2.4 billion ÷ KRW 40,000 = 60,000 units, giving utilization of 60%. Producing and selling 70,000 units generates contribution of KRW 2.8 billion and operating profit of KRW 400 million after fixed costs. If the price falls to KRW 90,000, contribution falls to KRW 30,000 and break-even rises to 80,000 units, requiring 80% utilization. Taxes, interest, and inventory changes are excluded.
What to check
- Check whether capacity is measured in good units or inputs.
- Align product units for selling prices and variable costs.
- Do not also include fixed manufacturing costs in variable costs.
- Check where the sales mix or additional shift costs change.
Sources and primary materials
This is educational material about research methods. For an actual company decision, verify the filings and primary sources for the relevant period.