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  • Marginal Rate of Transformation (MRT)

  • Non-Linear Feasible Frontiers

  • Deriving the Feasible Frontier Equation

  • Composite Function Rule (Chain Rule)

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

The Marginal Rate of Transformation (MRT) can be calculated precisely using calculus. If the feasible frontier is expressed as a function c=g(t)c = g(t), where cc is consumption and tt is free time, the MRT is the absolute value of the slope of this function. Mathematically, it is given by the derivative of the function g(t)g(t) with respect to tt: MRT=∣g′(t)∣MRT = |g'(t)|. This method is essential for analyzing economic models, especially those with non-linear frontiers where the trade-off rate varies.

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