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2. A rm has the production function Q (L, K) = L2/3K1/2, where L represents labor and K represents capital. a. If capital is xed

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2. A rm has the production function Q (L, K) = L2/3K1/2, where L represents labor and K represents capital. a. If capital is xed in the short-run, does labor exhibit diminishing returns? What does this imply about the shape of the total product of labor curve? (8 points) Does this production function exhibit increasing, constant or decreasing returns to scale in the longrun? Mathematically justify and intuitively explain what this means. (8 points) Are diminishing marginal returns and decreasing returns to scale the same phenomenon? Explain why or why not. (9 points)

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