Profit Analysis and Break-Even

Facilitation plan

Begin by naming the four outcomes. For each lesson, model the fictional decision, reveal the method one step at a time, invite an individual attempt, and discuss why the distractors fail. Allow a fresh attempt after feedback. Reserve the final three scenarios for independent practice.

1. Opening and prior knowledge: 5 minutes.
2. Four guided lessons: about 5–7 minutes each, plus discussion.
3. Final check and targeted remediation: 10–15 minutes.
4. Transfer prompt: ask how the method changes with the learner’s industry facts.

Use the text-first study guide as the accessible alternate format. No recorded or live delivery is assumed.

Build a unit contribution

Outcome: Subtract variable costs from net sales price.

Demonstrate

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.

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

Ask and observe

A $40 sale has $18 product cost and $6 variable fulfillment. Contribution?

Expected choice: $16. $40 − $18 − $6 = $16 contribution before fixed costs.

If missed: Explain the calculation or decision aloud; then present “A $30 sale costs $12 product plus $3 variable fees. Contribution?” Correct choice: $15.

Discussion prompt: Identify what must be paid before calling a sale profitable. Invite a brief verbal explanation. The learner view uses selectable checks and requires no typed submission.

Observe: Can the learner state the decision, identify the relevant facts, and follow the method without cues? A correct guess is not yet evidence of transfer. If a learner misses twice, return to the worked example with new numbers or facts before another attempt.

Calculate break-even volume

Outcome: Divide fixed costs by positive contribution per unit.

Demonstrate

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.

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

Ask and observe

$8,000 fixed costs and $16 contribution require how many units to break even?

Expected choice: 500. $8,000 ÷ $16 = 500 units under the simple model.

If missed: Explain the calculation or decision aloud; then present “$6,000 fixed costs and $20 contribution require?” Correct choice: 300 units.

Discussion prompt: Check whether the required sales volume is feasible. Invite a brief verbal explanation. The learner view uses selectable checks and requires no typed submission.

Observe: Can the learner state the decision, identify the relevant facts, and follow the method without cues? A correct guess is not yet evidence of transfer. If a learner misses twice, return to the worked example with new numbers or facts before another attempt.

Read the profit bridge

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

Demonstrate

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.

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

Ask and observe

600 units at $16 contribution less $8,000 fixed overhead yield what simplified operating profit?

Expected choice: $1,600. $9,600 contribution − $8,000 fixed cost = $1,600 before omitted items.

If missed: Explain the calculation or decision aloud; then present “500 units at $20 contribution less $7,000 fixed costs yields?” Correct choice: $3,000.

Discussion prompt: Explain a profitable month with low bank balance. Invite a brief verbal explanation. The learner view uses selectable checks and requires no typed submission.

Observe: Can the learner state the decision, identify the relevant facts, and follow the method without cues? A correct guess is not yet evidence of transfer. If a learner misses twice, return to the worked example with new numbers or facts before another attempt.

Stress-test price and cost

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

Demonstrate

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.

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

Ask and observe

At $36 price, $24 variable cost and $8,000 fixed cost, minimum whole units to break even?

Expected choice: 667. Contribution is $12. $8,000 ÷ $12 = 666.67, so at least 667 whole units.

If missed: Explain the calculation or decision aloud; then present “$25 price, $15 variable cost, $1,000 fixed cost require?” Correct choice: 100 units.

Discussion prompt: Decide whether a discount earns enough extra units to cover its cost. Invite a brief verbal explanation. The learner view uses selectable checks and requires no typed submission.

Observe: Can the learner state the decision, identify the relevant facts, and follow the method without cues? A correct guess is not yet evidence of transfer. If a learner misses twice, return to the worked example with new numbers or facts before another attempt.