Compute monthly break-even subscribers

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Quick Overview

This question evaluates a candidate's ability to perform break-even analysis using basic algebra and financial modeling, specifically computing subscriber thresholds and interpreting how changes in price and costs affect profitability.

Compute monthly break-even subscribers

Company: Capital One

Role: Data Scientist

Category: Statistics & Math

Difficulty: easy

Interview Round: HR Screen

A streaming startup has monthly fixed cost F = $100M, variable cost v = $4 per subscriber per month, and price p = $9 per subscriber per month. a) Compute the monthly break-even subscriber count N* and show the formula and units. b) If price increases to $10 with costs unchanged, recompute N*. c) If fixed cost rises to $120M while p = $9 and v = $4, recompute N*. State any assumptions about timing and recognition of costs explicitly.

Overview: This question evaluates a candidate's ability to perform break-even analysis using basic algebra and financial modeling, specifically computing subscriber thresholds and interpreting how changes in price and costs affect profitability.

Read the full Capital One Data Scientist interview experience this question came from

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Capital One
Oct 13, 2025
easyData ScientistHR ScreenStatistics & Math
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Break-even Analysis for a Subscription Streaming Service

Context

A streaming startup incurs monthly fixed costs and per-subscriber variable costs and charges a monthly subscription price. Compute the monthly break-even subscriber count under different scenarios.

Given

  • Fixed cost per month: F = $100 million
  • Variable cost per subscriber per month: v = $4
  • Price per subscriber per month: p = $9

Tasks

(a) Compute the monthly break-even subscriber count N*. Show the formula, plug in values, and include units.

(b) If price increases to $10 with costs unchanged, recompute N*.

(c) If fixed cost rises to 120millionwhilep=120 million while p = 9 and v = $4, recompute N*.

State any assumptions about timing and recognition of revenue and costs explicitly.

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