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Evaluating a Feasible Frontier Model
An economic analyst is modeling the daily production possibilities for a gig-economy worker. The worker's earnings (c) are directly proportional to the hours they work (h), described by the production function c = 20h. The analyst assumes a 24-hour day that the worker divides between work and free time (t). The analyst concludes that the feasible frontier, showing the relationship between maximum earnings and free time, is c = 20t.
Critique the analyst's conclusion. Identify the specific conceptual error in their derived feasible frontier equation. Then, provide the correct equation and briefly explain your reasoning.
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