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1. State whether the following production functions exhibit decreasing returns to scale, constant returns to scale, or increasing returns to scale: a). f(x1, X2) =

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1. State whether the following production functions exhibit decreasing returns to scale, constant returns to scale, or increasing returns to scale: a). f(x1, X2) = 5x1 1/4x, 1/4 b). F(K, L) = (K+L)2 c). f(x1,X2) = 2(x1 + X2) Give an explanation for your answer. 2. For the production functions in the previous question calculate the marginal product of x1 (or MPk for part b) and the technical rate of substitution. Graph one or two isoquants for each production function (To check that you have the right answer remember: what is the relationship between the technical rate of substitution and the slope of the isoquant?)

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