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Compute incremental profit, breakeven, and revenue sensitivity

Capital OneData Scientist · Technical Screen
EasyData ScientistTechnical ScreenStatistics & Math

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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.

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?