Financial Intelligence for Decision Making

Chapter 5
Costs, Contribution and Product Unit Economics

Post Graduate Program in Product Management
Financial Intelligence for Decision Making   •   Post Graduate Diploma

Costs, Contribution and Product Unit Economics

Introduction

Product managers make financial decisions whenever they choose a price, prioritise a feature, launch a product, select a channel, negotiate with a supplier, or decide whether to retain a customer. These decisions require more than knowing total revenue or accounting profit. They require an understanding of how costs behave, which costs are relevant to a decision, how much each sale contributes toward fixed costs and profit, and whether customer acquisition generates an acceptable economic return.

This chapter develops a practical framework for cost analysis and product unit economics. It distinguishes fixed, variable, direct, indirect, sunk, marginal and opportunity costs; explains cost allocation; applies contribution margin and break-even analysis; introduces operating leverage; and develops customer and product metrics such as customer acquisition cost (CAC), lifetime value (LTV), and CAC payback.

The central managerial principle is that financial measures must be matched to the decision being made. A cost may be important for financial reporting but irrelevant to a short-term pricing decision. Conversely, an opportunity cost may not appear in the accounting records but may be economically decisive.

Learning Objectives

By the end of this chapter, the learner should be able to:

  1. Classify costs according to behaviour, traceability and decision relevance.
  2. Explain the difference between accounting cost and economic cost.
  3. Allocate indirect costs using appropriate cost drivers while recognising allocation limitations.
  4. Calculate contribution margin, contribution margin ratio and break-even volume.
  5. Analyse the effects of fixed costs and operating leverage on risk and profit.
  6. Construct product and customer unit economics, including CAC, LTV and payback.
  7. Interpret unit economics for pricing, product portfolio, channel and growth decisions.
  8. Identify common measurement errors, ethical risks and governance requirements.

1. The Economic Logic of a Product

A product creates value when the benefits perceived by customers exceed the price they pay, while the firm creates economic value when the revenue generated exceeds the resources consumed, including resources with alternative uses. A simplified product profit relationship is:

Profit = Revenue − Variable costs − Fixed costs

Revenue is normally the price received per unit multiplied by units sold. Variable costs change, in total, with activity volume; fixed costs remain unchanged within a relevant range and time period. This distinction is not absolute: a cloud hosting bill may be partly variable, partly fixed and subject to capacity thresholds.

For a decision, the relevant cost is the future cash or economic sacrifice that changes because of the decision. Historical costs that cannot be recovered are generally irrelevant to a current choice, while committed costs, avoidable costs and opportunity costs may be relevant.

Cost classification dimensions

A single cost can have several classifications at once. For example, a third-party payment fee may be variable, direct, incremental and avoidable. A product manager should therefore ask several questions rather than assign one label:

DimensionQuestionExample
BehaviourDoes the total change with volume?Hosting usage fee
TraceabilityCan it be economically traced to a product or customer?Product-specific packaging
Decision relevanceWill it change because of this decision?Additional advertising spend
TimingHas it already occurred?A completed research project
Economic sacrificeIs another benefit forgone?Using engineering capacity for one product

2. Core Cost Concepts

2.1 Fixed and variable costs

A fixed cost does not change in total as activity changes within a specified relevant range and period. Examples include a monthly software licence, a salaried product team, warehouse rent and a depreciation charge. Fixed cost per unit decreases as volume increases:

Fixed cost per unit = Total fixed cost ÷ Units produced or sold

This relationship does not mean that fixed cost disappears at high volume. It means that the same total cost is spread over more units.

A variable cost changes in total with activity. If variable cost per unit is constant, total variable cost is:

Total variable cost = Variable cost per unit × Units sold

Real businesses often have mixed costs. A cost function may be represented as:

Total cost = Fixed cost + (Variable cost per unit × Activity)

The model assumes a stable relevant range, a consistent cost driver and approximately linear behaviour. It becomes unreliable when volume discounts, capacity constraints, step costs or nonlinear usage pricing apply.

A step-fixed cost remains fixed over a range but rises when capacity is exceeded. For example, one customer-success manager may support up to 200 accounts; the 201st account may require another manager. Product managers must model such thresholds explicitly.

2.2 Direct and indirect costs

A direct cost can be traced economically and practically to a cost object, such as a product, customer, feature or project. A component used only in Product A is a direct product cost. A payment processing fee attributable to a particular transaction is a direct transaction cost.

An indirect cost supports multiple cost objects and cannot be traced economically without an allocation rule. Corporate finance, shared infrastructure, office facilities and general brand advertising are common examples. Indirect does not mean unimportant; it means that causation is shared or difficult to observe.

The cost object must be specified. Engineering salaries may be direct to an engineering department but indirect to individual products. A customer-support team may be direct to a service line but indirect to each individual customer.

2.3 Sunk, committed and avoidable costs

A sunk cost is a past expenditure that cannot be recovered or changed by the current decision. It should not influence a forward-looking choice, although it may remain relevant for performance evaluation or learning. If a firm has spent $100,000 developing a feature and the cost cannot be recovered, the decision to continue should depend on future benefits and future costs, not on the $100,000 already spent.

A committed cost results from a prior decision and may be difficult to avoid in the short term. It is not necessarily fully sunk if cancellation, renegotiation or resale is possible. An avoidable cost disappears if an option is rejected; an unavoidable cost remains regardless of the choice.

2.4 Marginal and incremental costs

Marginal cost is the change in total cost caused by producing or selling one additional unit, under a specified definition of “unit.” In a smooth cost function, it is the derivative of total cost with respect to output:

MC = ∆TC ÷ ∆Q

where MC is marginal cost, ∆TC is the change in total cost and ∆Q is the change in quantity. For a very small change, marginal cost can be expressed as dTC/dQ.

Incremental cost is the additional cost of one option compared with another. It may involve many units, a new market or a complete product alternative. Marginal cost and incremental cost are related but not identical: marginal cost concerns an additional unit, whereas incremental cost concerns the difference between alternatives.

2.5 Opportunity cost

Opportunity cost is the value of the best alternative forgone. If a scarce engineering team can either improve Product A or build Product B, assigning it to Product A has an opportunity cost equal to the expected value of the best feasible Product B alternative, adjusted for risk and timing.

Opportunity costs are especially important in product portfolios, capacity planning and prioritisation. They are not normally recorded in financial accounts, so relying only on accounting costs can make a seemingly profitable project economically unattractive.

3. Cost Allocation and Cost Objects

Cost allocation assigns indirect costs to products, customers, channels or departments. A basic allocation rate is:

Allocation rate = Cost pool ÷ Total cost-driver volume

Allocated cost for an object is then:

Allocated cost = Allocation rate × Object’s driver usage

The cost pool is a group of related indirect costs. The cost driver is the activity that is believed to cause or explain the cost, such as machine hours, support tickets, orders, delivery kilometres or engineering hours.

Worked example: allocating support cost

A company has $120,000 of monthly support cost and expects 6,000 support tickets. The allocation rate is:

$120,000 ÷ 6,000 = $20 per ticket

Product A generates 1,500 tickets and Product B generates 500 tickets. Allocated costs are therefore $30,000 and $10,000 respectively. The remaining $80,000 is allocated to other products or activities if the full 6,000-ticket pool is used.

The arithmetic is straightforward, but managerial interpretation requires caution. Ticket volume may be a poor driver if Product A’s tickets are simple and Product B’s are technically complex. Time spent, severity-weighted tickets or a hybrid driver may produce better causal information.

Activity-based costing

Activity-based costing (ABC) assigns resource costs through activities and cost drivers. It is useful when products consume shared resources in substantially different proportions. ABC may reveal that a low-volume product creates disproportionate implementation, support or compliance work.

However, allocation is a model rather than a fact. It can create false precision, encourage internal disputes and lead managers to discontinue products that appear unprofitable only because arbitrary corporate costs were assigned to them. For short-term decisions, contribution after avoidable costs may be more informative than fully allocated profit. For long-term sustainability, however, capacity and shared costs must eventually be covered.

4. Contribution Margin and Profit Planning

Contribution margin measures how much revenue remains after variable costs to cover fixed costs and profit:

Contribution margin = Revenue − Total variable cost

Per-unit contribution margin is:

Unit contribution margin = Selling price per unit − Variable cost per unit

The contribution margin ratio is:

Contribution margin ratio = Contribution margin ÷ Revenue

Equivalently, for a single product with constant price and variable cost per unit:

Contribution margin ratio = Unit contribution margin ÷ Selling price per unit

These formulas assume consistent price, variable cost and product mix over the analysed range. Contribution is not profit because fixed costs have not yet been deducted.

Worked example: contribution and profit

A subscription product charges $50 per month. Variable service and payment cost is $20 per subscriber-month. At 4,000 subscriber-months:

  • Revenue = $50 × 4,000 = $200,000.
  • Variable cost = $20 × 4,000 = $80,000.
  • Contribution margin = $200,000 − $80,000 = $120,000.
  • Unit contribution = $50 − $20 = $30.
  • Contribution margin ratio = $30 ÷ $50 = 60%.

If monthly fixed costs are $90,000, operating profit is $30,000. The product generates positive contribution before fixed costs, but this result does not by itself prove that the product is economically attractive if it consumes scarce resources or creates substantial future obligations.

5. Break-Even Analysis

Break-even is the activity level at which total revenue equals total cost and operating profit is zero. For a single product:

Break-even units = Fixed costs ÷ Unit contribution margin

Break-even revenue is:

Break-even revenue = Fixed costs ÷ Contribution margin ratio

Using the previous example:

$90,000 ÷ $30 = 3,000 subscriber-months

Thus, 3,000 subscriber-months are required to cover fixed costs. At 4,000 subscriber-months, the margin of safety is 1,000 subscriber-months, or:

Margin of safety = Actual sales − Break-even sales

The margin of safety percentage is:

Margin of safety percentage = (Actual sales − Break-even sales) ÷ Actual sales

Here, it is 1,000 ÷ 4,000 = 25%.

For multiple products, a weighted-average contribution margin is required, assuming a stable sales mix:

Weighted-average unit contribution = ∑(Product mix proportion × Product unit contribution)

The result is sensitive to changes in price, variable cost, product mix and fixed cost. Break-even analysis is therefore a scenario tool, not a forecast of demand.

6. Operating Leverage and Risk

Operating leverage describes how strongly operating profit responds to changes in revenue because of fixed operating costs. The degree of operating leverage (DOL) at a given activity level is:

DOL = Contribution margin ÷ Operating profit

If contribution is $120,000 and operating profit is $30,000, DOL equals 4. A 1% change in sales, assuming price, mix and costs remain constant, is associated approximately with a 4% change in operating profit:

Percentage change in operating profit ≈ DOL × Percentage change in sales

The approximation applies locally and becomes less reliable for large changes, changing prices, capacity limits or changing product mix. High operating leverage magnifies both upside and downside. A software product with substantial platform investment may have low incremental cost and high operating leverage; this can produce exceptional profitability at scale but significant losses when demand is below plan.

7. Product and Customer Unit Economics

Unit economics analyse revenue, cost and contribution for a defined unit. The unit may be a transaction, order, subscription-month, customer, shipment, seat or product sold. The definition must be explicit because different units produce different conclusions.

A useful product-level measure is contribution after direct variable costs:

Unit contribution = Net revenue per unit − Direct variable cost per unit

Net revenue should account for discounts, refunds, credits, taxes collected on behalf of governments and other deductions. Variable costs may include payment processing, fulfilment, hosting usage, customer support attributable to usage, commissions and warranty or service costs.

Customer acquisition cost

Customer acquisition cost measures the cost of acquiring a new customer:

CAC = Acquisition and sales spend attributable to new customers ÷ Number of new customers acquired

The numerator and denominator must use the same period, channel, customer definition and attribution rule. Firms may report blended CAC across all channels or channel-specific CAC. Blended CAC is useful for portfolio planning; channel CAC is useful for optimisation.

A narrow CAC may include only advertising. A fully loaded CAC may include sales salaries, agency fees, marketing technology, creative production and onboarding costs. Neither is universally correct; the appropriate definition depends on the decision. Definitions must be disclosed and used consistently.

Lifetime value

LTV estimates the future contribution generated by a customer. A general discounted formulation is:

LTV = ∑[t=1 to T] (Expected contributiont × Retention probabilityt) ÷ (1 + r)t − Expected customer-specific service costs

Here, t is the period, T is the forecast horizon, r is the periodic discount rate, and contribution includes revenue less costs that vary with serving the customer. The formula is appropriate when retention, contribution or costs vary over time. It requires assumptions about churn, expansion, contraction, price, gross margin, discounting and the forecast horizon.

A simplified subscription approximation is:

LTV ≈ Average revenue per account per period × Gross margin percentage ÷ Churn rate per period

This approximation assumes relatively stable revenue, gross margin and churn, a constant hazard of churn, no meaningful expansion or contraction, and a sufficiently long horizon. It is not appropriate when cohorts are immature, churn is strongly tenure-dependent, contracts are annual, or customer economics vary materially by segment.

The LTV-to-CAC ratio is:

LTV:CAC = LTV ÷ CAC

A ratio above 1 indicates that estimated lifetime contribution exceeds acquisition cost, but it does not guarantee cash sustainability. A high ratio may reflect underinvestment in growth, excessive payback time, optimistic retention assumptions or omitted costs.

CAC payback

CAC payback is the time required for cumulative contribution from a customer to recover acquisition cost. If contribution is constant each period:

Payback period = CAC ÷ Periodic contribution per customer

For example, with CAC of $120 and monthly contribution of $30, payback is four months. If contribution changes over time, payback is found by accumulating expected contribution until it equals CAC. Payback is a cash-timing measure; LTV is a longer-term value estimate. Both should be used together.

8. Worked Integrated Example

A digital learning product charges $40 per monthly subscriber. Payment and content delivery cost $8 per subscriber-month. Customer support averages $2 per subscriber-month. Monthly marketing spend is $30,000, while product salaries and platform costs are $50,000. The product acquires 1,000 new customers in a month.

Net monthly revenue per subscriber is $40. Variable cost is $10, so unit contribution is $30. Total fixed operating cost, if marketing is treated as fixed for the current monthly plan, is $80,000. Break-even subscriber-months are:

$80,000 ÷ $30 = 2,666.67

Since partial subscriber-months are not operationally meaningful, at least 2,667 subscriber-months are required under the assumptions.

Suppose the average customer remains active for six months and contributes $30 per month. A simple undiscounted LTV estimate is:

$30 × 6 = $180

If acquisition and onboarding expenditure attributable to the 1,000 customers is $30,000, CAC is $30, and LTV:CAC is 6:1. Simple payback is:

$30 ÷ $30 = 1 month

These figures should not be accepted without examining cohort retention. If the six-month average is based on an immature cohort or excludes failed payments, refunds, sales salaries and service costs, LTV is overstated. The appropriate managerial response is to reconcile the metric definitions, examine cohort-level evidence and run sensitivity scenarios rather than celebrate the ratio alone.

9. Illustrative Case: Northstar Collaboration Software

Background

Northstar is a fictional business-to-business collaboration platform. It offers a Standard plan at $30 per seat per month and an Enterprise plan at $22,000 per annual account. Management believes the Enterprise plan is more attractive because its revenue per customer is higher.

Problem

The product team must decide whether to prioritise Enterprise acquisition. The sales team reports CAC of $12,000 per Enterprise account, while the growth team reports CAC of $90 per Standard customer. These figures are not directly comparable because the customer units, contract periods and service requirements differ.

Analysis

For Standard, the average account has 10 seats, monthly revenue of $300 and a gross margin of 75%. Monthly contribution is therefore:

$300 × 75% = $225

If average retention is 24 months, undiscounted contribution LTV is:

$225 × 24 = $5,400

The Standard LTV:CAC ratio is $5,400 ÷ $90 = 60:1, an unusually strong result that prompts investigation. The metric may be using account CAC while counting revenue per seat, or may omit onboarding and support costs.

For Enterprise, annual revenue is $22,000 and gross margin is 65%, producing annual gross contribution of:

$22,000 × 65% = $14,300

If the average contract lasts three years, undiscounted contribution is $42,900. Against CAC of $12,000, the ratio is 3.575:1. Enterprise appears less efficient on the ratio but may generate greater absolute contribution per customer.

The team then identifies implementation labour of $3,000 per Enterprise account and annual account-management cost of $2,000. Adjusted first-year contribution is:

$14,300 − $3,000 − $2,000 = $9,300

First-year payback is therefore greater than one year because $12,000 CAC exceeds first-year adjusted contribution. The account may still be attractive over three years, but it creates cash-flow and retention risk.

Approach and solution

Northstar adopts a common economic measurement policy:

  • Standard unit: one paying account, with seat expansion reported separately.
  • Enterprise unit: one contracted account, including implementation and account management.
  • Contribution: revenue less payment, hosting, support, implementation and account-specific service costs.
  • CAC: fully loaded incremental sales and marketing cost divided by new accounts.
  • LTV: cohort-based, discounted contribution forecast with low, base and high retention scenarios.

The product team prioritises Enterprise features only when they improve win rate, retention or service efficiency sufficiently to offset their opportunity cost. It also investigates the suspiciously high Standard ratio rather than using it as proof that growth spending should be increased.

Outcome and learning points

The case demonstrates that the “best” customer is not necessarily the one with the highest revenue or LTV:CAC ratio. Unit definitions, cost completeness, cash timing, retention quality and resource constraints determine economic attractiveness. A product manager should compare absolute contribution, payback, risk and opportunity cost alongside ratios.

10. Decision Applications

Pricing

A price reduction may increase demand but reduce unit contribution. The required volume increase to preserve total contribution, assuming constant variable cost, can be calculated by comparing old and new unit contribution. If the old contribution is $30 and the new contribution is $24, volume must rise by 30 ÷ 24 − 1 = 25% merely to preserve contribution.

Product portfolio decisions

A product with positive fully allocated profit may consume scarce engineering capacity that could generate greater contribution elsewhere. Portfolio analysis should include incremental contribution, avoidable shared costs, capacity consumption and opportunity cost.

Channel decisions

Channel economics should include discounts, commissions, returns, service costs and payment terms. A channel with lower CAC may still be inferior if it attracts low-retention customers or requires heavy support.

Feature prioritisation

Feature value can be estimated through expected incremental contribution, reduced cost, improved retention, increased conversion or risk reduction. Benefits should be probability-weighted where uncertain. The cost should include engineering time and the opportunity cost of displaced work.

11. Limitations, Governance and Ethics

Unit economics are estimates, not objective truths. Common limitations include small samples, survivorship bias, attribution error, delayed revenue recognition, cohort immaturity, changing prices, seasonality, omitted shared costs and inconsistent customer definitions.

Governance practices should include a metric dictionary, documented formulas, version-controlled assumptions, cohort analysis, reconciliation to financial statements and sensitivity analysis. Finance, product, marketing and data teams should agree on ownership and review frequency.

Ethically, managers should not manipulate CAC by excluding sales salaries or inflate LTV through unrealistic retention assumptions. Reporting a blended metric while selectively highlighting the best channel can mislead investors and internal decision-makers. Privacy laws and platform policies also constrain customer-level tracking and attribution. Data minimisation, lawful consent, access controls and retention limits are therefore relevant to unit-economic measurement.

AI can support cost classification, anomaly detection, demand forecasting and scenario analysis. It should not be treated as an authority on economic assumptions. Models may reproduce historical attribution bias, confuse correlation with causation or forecast retention inaccurately for new segments. Human review, explainability, validation against realised cohorts and clear accountability remain necessary.

12. Best-Practice Checklist

Before using a cost or unit-economic metric, a product manager should:

  1. Define the unit, time period and decision purpose.
  2. Separate revenue, variable cost, fixed cost and allocated cost.
  3. Distinguish sunk costs from future incremental costs.
  4. Include opportunity cost when scarce resources are involved.
  5. Use consistent numerator and denominator definitions.
  6. Reconcile operational metrics with accounting records.
  7. Analyse cohorts rather than relying only on averages.
  8. Test low, base and high scenarios.
  9. Report payback and cash timing alongside LTV:CAC.
  10. Document assumptions and review them as evidence changes.

Chapter Summary

Costs can be classified by behaviour, traceability, timing and decision relevance. Fixed costs remain constant within a relevant range, whereas variable costs change with activity. Direct costs can be traced to a cost object; indirect costs require allocation. Sunk costs are unrecoverable and generally irrelevant to current choices, while marginal, incremental, avoidable and opportunity costs are often central to decision analysis.

Contribution margin is revenue less variable cost and represents the amount available to cover fixed costs and profit. Break-even analysis uses contribution to estimate the volume or revenue required for zero operating profit. Operating leverage explains why fixed-cost structures magnify both gains and losses.

Product and customer unit economics require clearly defined units and consistent cost boundaries. CAC measures acquisition investment per new customer; LTV estimates future contribution; and CAC payback measures the time needed to recover acquisition cost. These metrics are useful only when based on credible cohorts, complete cost definitions and realistic assumptions. Professional product decisions combine accounting information with economic reasoning, capacity constraints, risk, cash timing and ethical governance.

Key Terms

Cost behaviour: The way total cost changes as activity changes.

Fixed cost: A cost that remains constant in total within a relevant range and period.

Variable cost: A cost that changes in total with activity volume.

Direct cost: A cost economically traceable to a specified cost object.

Indirect cost: A shared cost requiring allocation across cost objects.

Cost object: The product, customer, service, project or activity being measured.

Cost driver: An activity or factor used to explain or allocate cost.

Sunk cost: A past, unrecoverable cost that cannot be changed by a current decision.

Committed cost: A cost arising from a prior commitment and difficult to avoid in the short term.

Avoidable cost: A cost that disappears when an option is rejected.

Marginal cost: The change in total cost caused by an additional unit of activity.

Incremental cost: The additional cost of one alternative compared with another.

Opportunity cost: The value of the best alternative forgone.

Contribution margin: Revenue less total variable cost.

Contribution margin ratio: Contribution margin divided by revenue.

Break-even point: The activity level at which revenue equals total cost.

Operating leverage: The sensitivity of operating profit to changes in sales caused by fixed costs.

Customer acquisition cost (CAC): Acquisition and sales expenditure per new customer.

Lifetime value (LTV): Expected future contribution from a customer over the relationship.

CAC payback: The time required for customer contribution to recover acquisition cost.

Review Questions

Short Answer Questions

  1. Distinguish fixed cost from variable cost and give one product-management example of each.
  2. Why is a sunk cost generally irrelevant to a current decision?
  3. Define contribution margin and explain why it is not the same as profit.
  4. What is an opportunity cost, and why may it be absent from accounting records?
  5. State two assumptions behind the simplified subscription LTV formula.

Long Answer Questions

  1. Explain the differences among direct, indirect, marginal, incremental, avoidable and opportunity costs. Show how a single business cost may belong to several categories.
  2. Describe how cost allocation works, including cost pools, cost drivers, allocation rates and the limitations of arbitrary allocations.
  3. Derive and interpret break-even units, break-even revenue and margin of safety for a single-product business.
  4. Explain operating leverage and analyse why it increases both the potential return and risk of a product strategy.
  5. Critically evaluate CAC, LTV, LTV:CAC and CAC payback as tools for product-growth decisions.

Analytical / Application Questions

  1. A product sells for $80, has variable cost of $32 and fixed monthly costs of $144,000. Calculate unit contribution, contribution margin ratio and break-even units. Explain how a 10% price reduction would affect break-even if variable cost remains unchanged.
  2. A customer generates monthly revenue of $100, has a gross margin of 70%, and is expected to remain for 18 months. CAC is $500. Calculate simple undiscounted LTV, LTV:CAC and payback. Identify two reasons why the result may be overstated.
  3. Two projects require the same engineering budget. Project A has expected incremental contribution of $300,000; Project B has expected incremental contribution of $240,000 but avoids a regulatory risk valued at $100,000. Analyse which project should be selected and identify the assumptions that require further investigation.

Multiple Choice Questions with Answers

Question 1

Which cost is generally most relevant to a short-term decision to accept an additional order when spare capacity exists?

A. A sunk product-development cost

B. An unavoidable annual office lease

C. The incremental variable cost of fulfilling the order

D. A previously allocated corporate overhead charge

Correct Answer: C. The incremental variable cost of fulfilling the order

Question 2

A product sells for $50 and has variable cost of $20 per unit. What is its contribution margin ratio?

A. 20%

B. 30%

C. 40%

D. 60%

Correct Answer: D. 60%

Question 3

A business has fixed costs of $90,000 and unit contribution of $30. What is its break-even volume?

A. 2,000 units

B. 3,000 units

C. 4,500 units

D. 6,000 units

Correct Answer: B. 3,000 units

Question 4

Which statement best describes an opportunity cost?

A. A cost that has already been paid and cannot be recovered

B. The value of the best alternative forgone

C. A cost allocated using an activity driver

D. A cost that changes automatically with sales

Correct Answer: B. The value of the best alternative forgone

Question 5

If contribution margin is $120,000 and operating profit is $30,000, what is the degree of operating leverage?

A. 0.25

B. 2

C. 4

D. 90,000

Correct Answer: C. 4

Question 6

Which formula represents a basic CAC calculation?

A. Total revenue ÷ total customers

B. Acquisition and sales spend ÷ new customers acquired

C. Variable cost ÷ units sold

D. Lifetime contribution ÷ retention period

Correct Answer: B. Acquisition and sales spend ÷ new customers acquired

Question 7

A customer produces monthly contribution of $40 and has CAC of $200. What is simple CAC payback?

A. 4 months

B. 5 months

C. 8 months

D. $160

Correct Answer: B. 5 months

Question 8

Which condition is required for the simple formula LTV ≈ ARPU × Gross margin ÷ Churn to be reasonably appropriate?

A. Churn is stable and measured consistently over the period

B. All customers have different prices and no retention data

C. The product has no gross margin

D. CAC is included in gross margin

Correct Answer: A. Churn is stable and measured consistently over the period

Question 9

Why can allocated product profit be misleading for a short-term decision?

A. Allocated costs are always variable

B. Allocated costs may not change as a result of the decision

C. Direct costs cannot be measured

D. Contribution margin includes fixed costs

Correct Answer: B. Allocated costs may not change as a result of the decision

Question 10

A product’s unit contribution falls from $30 to $24 after a price change, with variable cost unchanged. Approximately what volume increase is required to preserve total contribution?

A. 10%

B. 20%

C. 25%

D. 30%

Correct Answer: C. 25%

Financial Intelligence for Decision Making
Chapter 5 of 15