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Compare average profit across mix scenarios

Capital OneData Scientist · Technical Screen

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This question evaluates understanding of expected value, weighted averages, and profit-margin analysis within the Statistics & Math domain for a Data Scientist role. It is commonly asked to probe quantitative reasoning about pricing and cost trade-offs, and it tests practical application of arithmetic and scenario-based profit modeling rather than abstract theoretical concepts.

You sell only Regular burgers in Scenario A. In Scenario B you sell both Regular and Vegan with a sold ratio Vegan:Regular = 2:3 and total units sold unchanged. Regular: price $4, unit cost $1. Vegan: price $4, unit cost $2. Compute: (1) the average profit per burger in A and in B, (2) the difference (B − A) in $/burger, and (3) the total profit change for 1,000,000 total burgers.