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Capital One·Data Scientist·Technical Phone Screen·Intermediate

Intermediate
Jun 2026

Summary

Capital One Data Scientist interview with a case-style math question that felt more like a finance problem than anything data-related. One question, pretty focused, walked away unsure if I set it up right.

Questions Asked (1)

Q1

A burger chain sells classic burgers at $4 each with a $1 unit cost and no meaningful fixed costs in Year 1. In Year 2 they add fixed costs: a base of $375m annually, $60m for a vegan training program, and a supplier retainer of $2.25m per month. If they still only sell classic burgers in Year 2, how many units do they need to sell to match Year 1's absolute profit? Walk through the equation and solve it.

Pricing & MonetizationProduct Analytics & Metrics
Author's notes

The fixed cost structure is what tripped me up at first.

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AI HintsAI Generated

Suggested Approach

First, calculate Year 1 profit by multiplying the contribution margin per burger ($4 - $1 = $3) by the number of units sold. Then, for Year 2, set up an equation where total contribution margin equals Year 1 profit plus total fixed costs, and solve for the required units. Clearly state the assumptions and walk through the arithmetic step by step.

Pro tip: In a case interview, always verbalize your assumptions and the logic behind each calculation. This demonstrates structured thinking and allows the interviewer to follow your reasoning, even if you make a minor arithmetic error.

1. Calculate Year 1 Profit

Determine the contribution margin per burger ($4 - $1 = $3) and multiply by the number of units sold in Year 1 to get the absolute profit.

2. Identify Year 2 Fixed Costs

Sum the annual fixed costs: base $375m, vegan training $60m, and supplier retainer $2.25m per month (annualized to $27m). Total fixed costs = $462m.

3. Set Up the Equation

Let X be the number of units needed in Year 2. The equation is: $3 * X - $462m = Year 1 Profit. Solve for X.

4. Solve for X

Add $462m to both sides and divide by $3 to find the required units. If Year 1 profit is P, then X = (P + $462m) / $3.

5. Interpret and Sanity Check

Ensure the answer makes sense: Year 2 units must be higher than Year 1 units because of the added fixed costs. If Year 1 units were given, plug in to get a numerical answer.

Key Points to Mention

  • Contribution margin per unit is $3 ($4 price - $1 variable cost).
  • Fixed costs in Year 2 include base $375m, vegan training $60m, and supplier retainer $2.25m per month = $27m annually.
  • Total fixed costs for Year 2 = $375m + $60m + $27m = $462m.
  • Year 1 profit = $3 * (Year 1 units).
  • Year 2 profit = $3 * (Year 2 units) - $462m.
  • To match Year 1 profit: $3 * (Year 2 units) - $462m = $3 * (Year 1 units), so Year 2 units = Year 1 units + 154 million.

AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.