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Consider the following production function Y=z*(a*K + (1-a)*N) where z represents total factor productivity, a is...

Consider the following production function Y=z*(a*K + (1-a)*N) where z represents total factor productivity, a is a parameter between 0 and 1, K is the level of capital, and N is labor. We want to check if this function satisfies our basic assumptions about production functions.

1. Does this production function exhibit constant returns to scale? Ex- plain

2. Is the marginal product of labor always positive? Explain

3. Does this function exhibit diminishing marginal product of labor? Ex- plain

4. Does increasing the amount of capital increase the marginal product of labor? Explain

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