# Answer to Question #47942 in Microeconomics for Leo

Question #47942

Find the marginal rate of technical substitution of Q=ln L + ln K

Expert's answer

Q = ln L + ln K

In microeconomic theory, the Marginal Rate of Technical Substitution (MRTS) is the amount by which the quantity of one input has to be reduced when one extra unit of another input is used, so that output remains constant.

MRTS = MPL/MPK = Q(L)'/Q(K)' = (1/L)/(1/K) = K/L

In microeconomic theory, the Marginal Rate of Technical Substitution (MRTS) is the amount by which the quantity of one input has to be reduced when one extra unit of another input is used, so that output remains constant.

MRTS = MPL/MPK = Q(L)'/Q(K)' = (1/L)/(1/K) = K/L

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