Compute incremental profit, breakeven, and revenue sensitivity

Quick Overview

A Capital One data scientist technical-screen case on cost accounting and profitability modeling. Candidates compute the Year-1 incremental profit of a new vegan burger line, decompose it into fixed versus variable components, derive breakeven volume, and run a ±10% sensitivity analysis.

Compute incremental profit, breakeven, and revenue sensitivity

Company: Capital One

Role: Data Scientist

Category: Statistics & Math

Difficulty: easy

Interview Round: Technical Screen

##### Question You are evaluating whether to add a vegan burger line in Year 1. Use the following assumptions (m = million): - Fixed training cost: $60m/year - Supplier retainer: $2.25m/month (fixed) - Vegan patty + ingredients variable cost: $2 per burger - Selling price: $5 per vegan burger - Expected sales volume: 120m burgers in Year 1 1. Compute the Year-1 incremental operating profit, defined as revenue − variable costs − fixed costs (the no-launch baseline is $0). Be sure to pro-rate the monthly retainer to a full year. 2. Decompose the result into its fixed versus variable components and express it in contribution-margin terms (per-unit contribution, contribution margin ratio, total contribution). 3. Compute the breakeven unit volume for the vegan burger line and interpret it. 4. Run a sensitivity check: if expected sales volume comes in at ±10% versus plan, what is the new incremental profit in each case?

Quick Answer: A Capital One data scientist technical-screen case on cost accounting and profitability modeling. Candidates compute the Year-1 incremental profit of a new vegan burger line, decompose it into fixed versus variable components, derive breakeven volume, and run a ±10% sensitivity analysis.

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Capital One
Oct 13, 2025, 9:49 PM
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Question

You are evaluating whether to add a vegan burger line in Year 1. Use the following assumptions (m = million):

  • Fixed training cost: $60m/year
  • Supplier retainer: $2.25m/month (fixed)
  • Vegan patty + ingredients variable cost: $2 per burger
  • Selling price: $5 per vegan burger
  • Expected sales volume: 120m burgers in Year 1
  1. Compute the Year-1 incremental operating profit, defined as revenue − variable costs − fixed costs (the no-launch baseline is $0). Be sure to pro-rate the monthly retainer to a full year.
  2. Decompose the result into its fixed versus variable components and express it in contribution-margin terms (per-unit contribution, contribution margin ratio, total contribution).
  3. Compute the breakeven unit volume for the vegan burger line and interpret it.
  4. Run a sensitivity check: if expected sales volume comes in at ±10% versus plan, what is the new incremental profit in each case?
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