This question evaluates a data scientist's competency in profit-impact modeling, break-even analysis, and accounting for cannibalization effects using unit contribution margins and fixed costs.

A restaurant is considering adding a Vegan burger alongside its existing Regular burger. The unit contribution margins are:
Launching Vegan incurs a fixed cost F (e.g., training and supplier retainer). Let c be the cannibalization rate: the fraction of Vegan sales that would otherwise have been Regular sales (i.e., substitution rather than incremental).
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