Maintain target margin with fixed costs
Company: Capital One
Role: Data Scientist
Category: Statistics & Math
Difficulty: medium
Interview Round: Technical Screen
Target a 34.43% profit margin in Year 2. You will sell both products with the same prices as in Q4: classic price = $4, unit cost = $1; vegan price = $4, unit cost = $2; sales mix vegan:classic = 2:3. Year-2 fixed costs (independent of volume) are $375m. How many total burgers must you sell in Year 2 to achieve a 34.43% profit margin? Derive and solve for total units U using margin = (revenue − variable − fixed)/revenue.
Quick Answer: This question evaluates the ability to model profit margins by combining revenue, variable costs from a mixed-product portfolio, and fixed costs using algebraic manipulation and basic cost-accounting concepts for a Data Scientist role.
