Figure E3.2: Marina’s Feasible Frontier

A Hypothetical Logarithmic Feasible Frontier for Marina

MRT as the Derivative of the Feasible Frontier Function g(t)

A farmer's daily grain output in kilograms (c) is determined by the number of hours they work (h), according to the production function c = 10h. Given that there are 24 hours in a day to be allocated between work and free time (t), which of the following equations correctly represents the farmer's feasible frontier, showing the maximum grain output for any given amount of free time?

Deriving a Production Possibility Equation

Deriving a Coder's Feasible Frontier

An individual's daily consumption (c) is determined by the number of hours they work (h), based on a specific production function. They have 24 hours a day to allocate between work and free time (t). Match each production function with its corresponding feasible frontier equation, which shows the maximum consumption for any given amount of free time.

An analyst wants to derive the equation for a firm's 'feasible frontier' for production. This equation should show the maximum possible output (c) for any given amount of leisure time (t) available to its single worker in a 24-hour day. Arrange the following steps in the correct logical order to derive this equation.

A freelance writer's daily income (c) is determined by the number of hours they work (h) according to the production function c = 5h^2. Given that there are 24 hours in a day to be allocated between work and free time (t), the correct feasible frontier equation, which shows the maximum income for any given amount of free time, is c = 5(24^2 - t^2).

Reconstructing the Production Function

Analysis of Feasible Frontier Shapes

Evaluating a Feasible Frontier Model

An artisan's daily output of handcrafted items (c) is determined by the number of hours they work (h), according to the production function c = 2h² + 5. If the artisan has 10 hours available each day to allocate between work and free time (t), the feasible frontier equation showing the maximum output for any given amount of free time is c = 2 * (____)² + 5.

An individual's daily consumption (c) is determined by the number of hours they work (h), based on a specific production function. They have 24 hours a day to allocate between work and free time (t). Match each production function with its corresponding feasible frontier equation, which shows the maximum consumption for any given amount of free time.