Suppose a soap-manufacturing production process is described by the following  equation: Y = a + b log K + с log L Where,  Y= Output (number of soaps produced) K=Capital  L=Labor a, b and c are constants Suppose 0

Exploring Economics
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Chapter11: The Firm: Production And Costs
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Suppose a soap-manufacturing production process is described by the following 

equation:

Y = a + b log K + с log L

Where, 

Y= Output (number of soaps produced)

K=Capital 

L=Labor

a, b and c are constants

Suppose 0<a<1, 0< b<1 

a. Find the Marginal Product of Labor (MPL) and Marginal Product of Capital (MPK)

in the production of soap

b. Is MPL diminishing, increasing or constant as L increases?

c. Is MPK diminishing, increasing or constant as K increases?

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