Demonstrate what is the marginal productivity of capital

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Returns to Scale Sample Homework

Question: The Cobb-Douglas production function ( Y= AK>L1-> ) is a good approximation to the U.S. Economy because >= 0.3 (> is parameter that represents the share of GDP that is appropriated by capitalist) is CONSTANT over the long run. In fact, it is fairly close to 30%. The share appropriated by workers is also constant at about 70% (1->=0.7)

Try to test:

Determine returns to scale. You must demonstrate.

What is the marginal productivity of labor? Demonstrate

What is the marginal productivity of Capital? Demonstrate

Is the productivity of the inputs a decreasing or an increasing function (does the function exhibit diminishing returns in each of the inputs?) Demonstrate.

if the production function is 

F (L, K)= 2 K2 + 15 L 2

Reference no: EM13315975

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