PRIVATE, BROWSER-ONLY WORKSHEET · Calculators
Two-Plan Break-Even Quantity
Compare two fixed-plus-per-unit price plans, solve their cost crossing, and inspect whole-unit costs around that point.
Plan A costs 10.00 plus 5.00 per unit. Plan B costs 30.00 plus 3.00 per unit. Both cost 60.00 at 10 units.
Set up the calculation
Enter your own values or load the worked example. Your entries stay in this browser.
Your result
Cost crossing
UNDERSTAND THE RESULT
How to use the Two-Plan Break-Even Quantity
Use this to compare subscriptions, printing, shipping, or equipment plans with one fixed charge and one constant charge per unit.
What to enter
Enter fixed and per-unit costs for both plans in the same currency and period. Zero costs are allowed.
Worked example
Plan A costs 10.00 plus 5.00 per unit. Plan B costs 30.00 plus 3.00 per unit. Both cost 60.00 at 10 units.
How to read the result
The summary states the algebraic crossing, if a nonnegative crossing exists. Read whole-unit rows to see which plan is cheaper at actionable quantities.
Method
Set plan A fixed + A unit cost × quantity equal to plan B fixed + B unit cost × quantity and solve for quantity. The table evaluates nonnegative whole-unit points around the crossing.
What to check
Costs are assumed linear with no tiers, taxes, minimums, discounts, or changing unit rates. A fractional crossing is an algebraic point; purchases may require whole units.
Avoid this mistake
Choosing a plan only by per-unit price while ignoring its fixed charge or the quantity you actually expect to use.
Calculations run locally in your browser. No entered values are sent to the Nirmion API.
Questions to check
What if the per-unit prices are equal?
The plans either cost the same at every quantity or never cross, depending on fixed costs.
Can a crossing be fractional?
Yes. Compare the adjacent whole-unit rows if units cannot be divided.
Does this recommend a plan?
No. It reports modeled costs; contract terms and non-price features are outside the calculation.