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Match Year-2 profit to Year-1

Last updated: Mar 29, 2026

Quick Overview

This question evaluates unit economics, basic profit modeling, and algebraic manipulation to relate price, variable cost, fixed costs, and sales volume.

  • easy
  • Capital One
  • Statistics & Math
  • Data Scientist

Match Year-2 profit to Year-1

Company: Capital One

Role: Data Scientist

Category: Statistics & Math

Difficulty: easy

Interview Round: Technical Screen

Year 1: you sold only classic burgers at price $4, unit cost $1, volume = 231m units. Year-1 fixed costs are negligible for this calculation. Year 2: you keep the same classic unit economics but incur new fixed costs: base fixed cost = $375m/year plus vegan program training = $60m/year and supplier retainer = $2.25m/month. Assuming you still sell only classic burgers in Year 2, how many total units must you sell in Year 2 to match Year-1 absolute profit? Show the equation and solution.

Quick Answer: This question evaluates unit economics, basic profit modeling, and algebraic manipulation to relate price, variable cost, fixed costs, and sales volume.

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Capital One
Oct 13, 2025, 9:49 PM
Data Scientist
Technical Screen
Statistics & Math
1
0

Target Profit Volume Across Two Years

Context

You sell only classic burgers. Year 1 has negligible fixed costs; Year 2 introduces new fixed costs. The unit economics (price and variable cost per unit) stay the same in Year 2. Find how many units you must sell in Year 2 to match Year 1's total (absolute) profit.

Given

  • Year 1:
    • Price per unit = $4
    • Variable cost per unit = $1
    • Volume = 231 million units
    • Fixed costs ≈ 0
  • Year 2:
    • Same price and unit cost as Year 1
    • Fixed costs:
      • Base fixed cost = $375 million per year
      • Vegan program training = $60 million per year
      • Supplier retainer = $2.25 million per month

Task

Assuming you still sell only classic burgers in Year 2, how many total units must you sell in Year 2 to match Year 1's absolute profit? Show the equation and the solution.

Solution

Show

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