Short Answer

Formulating the Feasibility Constraint

An economic planner is determining an efficient allocation of consumption (c) and free time (t) for a representative individual in an economy. The total daily production of goods is given by the function G(h) = 20√h, where h represents hours worked. A fixed amount of 50 goods must be allocated to a second individual. A day consists of 24 hours. To ensure any proposed allocation is possible, it must lie on the feasible frontier. Write the specific mathematical equation that represents this feasibility constraint, expressing the first individual's consumption (c) in terms of their free time (t).

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Updated 2025-07-23

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