The One Formula That Runs Every Case
Every single case that involves a struggling business reduces to this. Before anything else, burn this into your memory.
Revenue = Price ร Volume
Cost = Fixed Costs + Variable Costs
Think of it like a program: profit() is the function. It takes two inputs: revenue and cost. When profit is declining, you debug by checking both inputs. From the Haas case book: "Profit is a function of Revenue and Costs" โ that's literally what interviewers write in their guide notes.
Think of a company like a system. Revenue is the input throughput (price ร volume = how fast you process tickets ร how much you charge per ticket). Costs are your overhead (fixed = servers you always pay for; variable = compute you use per request). Profit is net output. When output shrinks, you debug: is input down, or did overhead spike?
Reading a P&L in 60 Seconds
The income statement is the single most important document in case interviews. You'll be handed one and asked "what do you notice?" Here's the full structure from the Haas case book:
| Line Item | Also Called | What it means | Example ($M) |
|---|---|---|---|
| Sales / Revenue | Top Line | What you charge customers | $1,000 |
| โ Cost of Goods Sold | COGS | Direct cost to make the product | โ$500 |
| = Gross Profit | Gross Margin | Revenue minus what you spent making it | $500 |
| โ Operating Expenses | OpEx / SG&A | Cost to run the business (marketing, rent, salaries) | โ$200 |
| = Operating Profit | EBIT | Profit from core operations | $300 |
| โ Non-Operating Expense | Interest, etc. | Costs not from running the business | โ$30 |
| = Pre-Tax Income | EBT | Profit before government takes its cut | $270 |
| โ Taxes | ~30-35% | Government's share | โ$81 |
| = Net Income | Bottom Line | What the company actually keeps | $189 |
Interview move: When handed a P&L, immediately compute margins for each line (divide by revenue). This tells you where the problem is. In the CoffeeCo case, gross margin was flat at 50% but OpEx margin was rising โ that's your smoking gun.
The Percentages Interviewers Love
How much you keep after paying to make the product. A software company might have 80%+ gross margins because each extra user costs almost nothing. A grocery store might have 25%.
A clothing store has Revenue = $125M, COGS = $87.5M
This means for every $1 of clothing sold, 30 cents goes toward running the business and profit.
After paying both COGS and operating expenses (rent, salaries, marketing). This is your profit from actually running the business.
Revenue = $2,143M, Net Income = $371M
The CEO wanted 20%. The case was about finding what's eating into that 3% gap โ it turned out to be SG&A rising from 15% to 20% of revenue.
EBITDA stands for Earnings Before Interest, Taxes, Depreciation, and Amortization. It's used everywhere in M&A and valuation because it strips out financing and accounting choices to show how profitable the core business is. Think of it as "cash profit from operations."
EBITDA Margin = EBITDA / Revenue ร 100%
ComfortFoam: Revenue = $1.7B, EBITDA Margin = 12%
A competitor had 19% EBITDA margin and a Price-to-EBITDA multiple of 14.9 vs ComfortFoam's 8.9 โ that's why the competitor was valued much higher despite lower revenue. EBITDA margin matters for valuation.
When you see EBITDA in a case: It's usually being used to value a company. Multiply EBITDA ร a multiple (e.g. 8x) to get company value. More on this in the Valuation section.
Fixed vs. Variable Costs
Costs that don't change with volume. You pay them regardless of whether you sell 1 unit or 1 million units. Like a cloud server you rent regardless of traffic.
The farm has Fixed Cost = $500 initial setup + $350/year salary (labor).
Even if you grow zero plants, you still owe $350/year. This is why scale matters โ spreading fixed costs over more units lowers the cost per unit.
Costs that scale with production. Like AWS bills that go up when more users hit your API. In manufacturing, variable costs are typically the raw materials and direct labor per unit.
Total Cost = Fixed Cost + Variable Cost
Exotic Flowers: Price per plant = $25, Variable Cost per plant = $17
The interviewer expected you to rank crops by profit-per-acre to decide which to grow.
Key insight: When a company increases production, fixed costs per unit go down (economies of scale), but total variable costs go up proportionally. This is why in many cases, growing volume is the answer โ you spread fixed costs over more units.
Break-even is the volume you need to sell just to cover all costs (zero profit). Super common in market entry cases: "Is it worth entering this market?"
Note: (Price โ Variable Cost) = "Contribution Margin per Unit"
Solar panels: Launch cost (fixed) = $35M, Profit per panel = $5, Market = 22.5M panels
At 10% market share = 2.25M panels ร $5 = $11.25M profit. That's less than the $35M launch cost โ they LOSE money. This was the key insight that led to "don't enter."
How to Diagnose Declining Profits
When a company's profits are declining, here is the exact process interviewers expect. This appeared in virtually every case book.
Step 2: If Revenue โ is it Price or Volume?
Step 3: If Volume โ which product/segment/region?
Step 4: If Cost โ is it Fixed or Variable? Which line item?
Clue 1: Revenue is declining โ drill into price vs. volume
Clue 2: Volume per store is down only at new stores โ drill into why
Answer: New stores can't sell sandwiches (kitchen permits) โ lower revenue per store
Clue 3: Gross margin is fine (50%), but OpEx margin rose โ drill into OpEx
Answer: New store labor costs higher due to overtime โ fix scheduling
Margin math trick: Always convert dollar figures to percentages of revenue. A cost going from $200 to $500 sounds bad, but if revenue went from $1,000 to $1,800, the margin actually stayed flat. That's what interviewers look for you to catch.
How Much Is a Company Worth?
The fastest way to value a company in a case. Find similar public companies, look at their Price/EBITDA multiple, and apply it. It's like saying "my startup is like Stripe, and Stripe trades at 30x earnings, so I'm worth 30x mine."
Typical multiples appear in the case data. Common range: 6xโ15x
The benchmark: FV/EBITDA = 3.5 (given in the case)
Silky Sweets brand: Revenue = $12B, EBITDA Margin = 25%
The company recommended selling Silky Sweets for $10.5B to return cash to shareholders.
The idea: money today is worth more than money tomorrow (because you can invest it). DCF calculates how much future cash flows are worth in today's dollars. This is the "real" valuation method but you rarely calculate the full thing in a case โ you just need to know the concept.
Or simplified for perpetuity: Value = Annual Profit / r
More precisely: Value = Annual Profit / (r โ g)
where g = expected growth rate
Post-tax profit = $13.5M/year, WACC (discount rate) = 15%, Growth = 5%
WACC = Weighted Average Cost of Capital. Think of it as the minimum return the company needs to earn to satisfy its investors and debt holders. When discount rate goes up โ valuation goes down.
NPV tells you whether an investment is worth it. If NPV > 0, the investment earns more than your cost of capital โ do it. If NPV < 0 โ don't do it.
Simple version: NPV = (Annual Profit / Discount Rate) โ Upfront Cost
Washington dispensary: Annual Cash Flow = $750K/store, Discount Rate = 10%
Should We Make This Investment?
The simplest investment test: how many years until you get your money back? McKinsey cases frequently give you a threshold (e.g., "board requires payback in under 5 years") and ask you to check if the investment clears it.
Switching to a new show costs $2.4M upfront, saves $600K/year more profit
The interviewer notes this is "too long" in a competitive Vegas market โ recommendation was to stay with current show.
Investment = $3B, additional annual profit = $690M
How much profit you generate per dollar invested. The higher, the better. Think of it like the interest rate your investment earns.
Or: ROIC = (Value of Investment / Initial Investment) โ 1
Economy segment, high price, retrofit facility:
Primary investment: Value = $210M, Initial Investment = $150M
M&A option had ROIC of only 20% โ primary investment wins
When you have limited capital and must choose between multiple projects, rank them by NPV per dollar invested. Pick the highest-ranked ones until you run out of money.
Rank projects highest โ lowest. Fund until budget runs out.
Company has $14.7B to invest. 6 projects available:
How to Think About Setting a Price
In any pricing case, structure your thinking around these three lenses:
2. Value-Based Pricing: Price = Customer's Willingness to Pay (WTP)
3. Competitive Pricing: Price = Competitor's Price ยฑ premium/discount
Vet clinics mark up products 100% (they pay $X, sell for $2X).
If LifeRenew charges $200/unit โ vets sell at $400/unit.
The case asks: what price maximizes LifeRenew's revenue while keeping vets happy and still getting adoption?
Recommendation: $200/unit based on value vs. existing alternatives.
Drug priced at: Discount ($5), Parity ($10), or Premium ($15)
Premium wins despite lower market share โ price effect outweighs volume loss.
Price elasticity intuition: If demand barely drops when you raise price โ raise price. If demand collapses โ don't. In the pharma case, premium pricing only reduced hospital adoption slightly, so it was worth it.
Revenue & Market Share Calculations
Common calculation chain in market entry cases: start from total market, apply your expected market share, get your revenue.
Your Revenue = Total Market Revenue ร Your Market Share %
Total EV units forecast 2018 = 400,000
1.5M Premium users ร $100/month ร 12 months = $1.8B annual revenue
This feeds into a DCF to value MexTell at $7.6B โ above $6B threshold โ recommend the acquisition.
Unit economics = profitability at the level of one unit sold. Mastering this lets you quickly size up whether a business makes sense. Think: "what's the profit on one beer barrel, one shoe, one parking meter?"
Total Profit = (Price โ VC) ร # Units โ Fixed Costs
Price = $10 per 6-pack, 660,000 bottles total
All Formulas at a Glance
How to Use This in the Room
Step 2 โ Revenue issue: split into Price vs. Volume vs. Mix
Step 3 โ Cost issue: split into Fixed vs. Variable vs. which line
Step 4 โ Convert everything to margins (รท by Revenue)
Step 5 โ Compare to prior year OR competitor benchmark
From the Haas book: "Revenue โ P ร Q. Cost โ F + V. Margin โ each divided by Revenue." These three rows are what every interviewer has in their guide notes.
For a CS student: Treat financial analysis like debugging. The income statement is your stack trace. Margins are your metrics dashboard. You're narrowing down which function is causing the performance regression. That framing will help you stay calm and structured.
When given an exhibit with lots of data: Don't read every number. First compute margins (each row รท revenue). Then look for what changed year-over-year. The outlier is usually your answer. In Sardine Airlines: SG&A jumped from 15% โ 20% of revenue while everything else was stable. That's it โ that's the whole case.