Compare average profit across mix scenarios

In Scenario A, your only product is Regular burgers. In Scenario B, you sell both Regular and Vegan, with a sold ratio of Vegan to Regular equal to $2:3$, while the total number of units sold stays the same. For Regular, the price is $4 and the unit cost is $1. For Vegan, the price is $4 and the unit cost is $2. Calculate: (1) the average profit per burger in Scenario A and in Scenario B, (2) the difference ($B - A$) in dollars per burger, and (3) the total profit change for 1,000,000 total burgers.

Overview:

This question tests your grasp of expected value, weighted averages, and profit-margin analysis in the Statistics & Math domain for a Data Scientist role. It is often used to assess quantitative reasoning about trade-offs between pricing and costs, and it checks applied arithmetic and scenario-based profit modeling rather than abstract theory.

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