Marginal rate of technical substitution

Marginal rate of technical substitution

In economics, the Marginal Rate of Technical Substitution (MRTS) - or Technical Rate of Substitution (TRS) - is the amount by which the quantity of one input has to be reduced ( − Δx2) when one extra unit of another input is used (Δx1 = 1), so that output remains constant (y = \bar{y}).

MRTS(x_1,x_2) =-\frac{\Delta x_1}{\Delta x_2} = \frac{MP_2}{MP_1}

where MP1 and MP2 are the marginal products of input 1 and input 2, respectively, and MRTS(x1,x2) is Marginal Rate of Technical Substitution of the input x1 for x2.

Along an isoquant, the MRTS shows the rate at which one input (e.g. capital or labor) may be substituted for another, while maintaining the same level of output. The MRTS can also be seen as the slope of an isoquant at the point in question.

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