Microeconomics 2 - Factor Market - Pareto Optimum Consider an economy in which only 2 factors are capital (K) and labor (L) whose total supply is 100 labor and 100 capital. They are used by only firm that produces only 2 final goods X and Y.  The technology describing the production process of each of goods is described by the following production functions: X = 5 Lx + 3 Kx and Y = 1/3 Ly Ky It’s known that the factors have been allocated in such a way that the initial endowment is: Kx = 75; Lx = 85; Ky = 25 and Ly = 15. With these data we ask: Obtain the contract curve corresponding to the production of this economy. Does the starting point constitute a PARETO OPTIMUM? Represent the available information in an Edgeworth Box. Obtain the production possibilities frontier (PFC) curve. Locate the initial endowment THANKS :D

Microeconomic Theory
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ISBN:9781337517942
Author:NICHOLSON
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Chapter9: Production Functions
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Microeconomics 2 - Factor Market - Pareto Optimum

Consider an economy in which only 2 factors are capital (K) and labor (L) whose total supply is 100 labor and 100 capital. They are used by only firm that produces only 2 final goods X and Y.  The technology describing the production process of each of goods is described by the following production functions:

X = 5 Lx + 3 Kx and Y = 1/3 Ly Ky

It’s known that the factors have been allocated in such a way that the initial endowment is: Kx = 75; Lx = 85; Ky = 25 and Ly = 15.

With these data we ask:

  1. Obtain the contract curve corresponding to the production of this economy. Does the starting point constitute a PARETO OPTIMUM?
  2. Represent the available information in an Edgeworth Box.
  3. Obtain the production possibilities frontier (PFC) curve. Locate the initial endowment

THANKS :D

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