Problem B: The Production Model Consider the production model that we have seen in class with a production function for final output specified as Y = K1/4L3/4_ %3D Capital and labor available in the economy are, respectively, K = 40 and L = 50. B.1 Write down the profits maximization problem for firms in the production model (you can write profits in units of final output). Derive the first order conditions for the firm's maximization problem and provide the economic interpretation of the first order condition for labor. B.2 Please define the property of “Constant Returns to Scale" as we did in class. Does the production function above exhibit constant returns to scale? Show your computations.

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Problem B: The Production Model
Consider the production model that we have seen in class with a production function for final output
specified as
Y = K1/4L3/4
Capital and labor available in the economy are, respectively, K = 40 and L = 50.
B.1 Write down the profits maximization problem for firms in the production model (you can write profits
in units of final output). Derive the first order conditions for the firm's maximization problem and provide
the economic interpretation of the first order condition for labor.
B.2 Please define the property of "Constant Returns to Scale" as we did in class. Does the production
function above exhibit constant returns to scale? Show your computations.
B.3 State the equations that constitute the competitive general equilibrium for the economy in the
production model above. What are the variables that you need to solve for to obtain a solution to the
equilibrium?
Transcribed Image Text:Problem B: The Production Model Consider the production model that we have seen in class with a production function for final output specified as Y = K1/4L3/4 Capital and labor available in the economy are, respectively, K = 40 and L = 50. B.1 Write down the profits maximization problem for firms in the production model (you can write profits in units of final output). Derive the first order conditions for the firm's maximization problem and provide the economic interpretation of the first order condition for labor. B.2 Please define the property of "Constant Returns to Scale" as we did in class. Does the production function above exhibit constant returns to scale? Show your computations. B.3 State the equations that constitute the competitive general equilibrium for the economy in the production model above. What are the variables that you need to solve for to obtain a solution to the equilibrium?
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