Profit Analysis and Break-Even

How to learn with this guide

1. Read each explanation, then repeat the worked example without looking.
2. Follow the three-step method aloud and answer the check.
3. For feedback and a reworded attempt, return to the interactive lesson.
4. At the end, explain how the idea applies to your own industry.

LESSON 1 OF 4

Build a unit contribution

Outcome: Subtract variable costs from net sales price.

Concise briefing

Contribution per unit is net selling price less variable cost tied to that sale. Gross profit may use a different cost classification; show what is included. Contribution pays fixed costs first, then can support operating profit.

Worked example

A gift box sells for $40 net. Product and packaging cost $18, payment and fulfillment cost $6. Contribution is $40 − $24 = $16 before fixed overhead.

Repeatable method

1. Use realized net price after discounts and returns assumptions.
2. Include variable product and fulfillment costs.
3. Subtract to find contribution per unit.

LESSON 2 OF 4

Calculate break-even volume

Outcome: Divide fixed costs by positive contribution per unit.

Concise briefing

Break-even units equal fixed costs divided by contribution per unit under the stated simple assumptions. Round up to a whole unit. This is a model, not a guarantee: mix, capacity, returns, and changing costs matter.

Worked example

Fixed monthly overhead is $8,000 and contribution is $16 per box. Break-even is 500 boxes, assuming every unit earns that contribution and there are no other effects.

Repeatable method

1. Identify fixed costs for the same period.
2. Calculate positive contribution per unit.
3. Divide and round up; test capacity and sales evidence.

LESSON 3 OF 4

Read the profit bridge

Outcome: Move from contribution to operating profit without confusing cash.

Concise briefing

Revenue minus variable costs gives total contribution in this simplified model. Subtract fixed operating expenses for operating profit before tax and financing effects. Inventory purchase and receivable timing can make bank cash differ sharply.

Worked example

600 boxes × $16 contribution = $9,600. Less $8,000 fixed overhead gives $1,600 simplified operating profit. If a retailer has not paid, cash can still be tight.

Repeatable method

1. Multiply units by unit contribution.
2. Subtract fixed costs and other modeled operating expenses.
3. Reconcile profit to cash timing separately.

LESSON 4 OF 4

Stress-test price and cost

Outcome: Model how a discount or cost increase changes break-even.

Concise briefing

A discount cuts contribution dollar for dollar if variable cost stays fixed. A cost increase has the same directional effect. Recompute break-even and compare expected incremental volume; avoid a promotion that looks busy but weakens total profit.

Worked example

Price falls from $40 to $36 while variable cost remains $24. Contribution falls from $16 to $12. With $8,000 fixed costs, break-even rises from 500 to 667 units after rounding up.

Repeatable method

1. Recompute net price and variable cost.
2. Calculate revised contribution and break-even.
3. Compare likely volume and cash requirements.

Final review

Close your notes and answer these in the interactive course. Revisit any missed lesson before attempting the reworded check.

1. Which figure pays fixed operating costs?
2. Why can cash be low during an operating-profit month?
3. What happens to break-even if unit contribution falls and fixed costs stay the same?

Use it in your setting

Replace one fictional example with facts from your field. Name the decision, evidence needed, and the first assumption to verify.

All examples are educational. This printout does not create a verified grade, enrollment, or credential.

Sources and further reading

Original Aim High Hero explanations and fictional exercises. External sources do not endorse this course.

• U.S. Small Business Administration — Break-even point
• SBA — Manage your finances
• IRS — Small business tax center