Exam 4: A Model of Production

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The law of diminishing marginal product to capital means that as we add additional units of capital:

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In the Cobb-Douglas production function  In the Cobb-Douglas production function   the  \alpha represents: the α\alpha represents:

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Write down the firm's profit maximizing problem. Be sure to identify the variables the firm can choose and which it takes as given. What should the firm facing the following scenarios do? • The marginal product of capital is greater than the rental price of capital. • The marginal product of labor is less than the wage.

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The equation The equation   is an example of: is an example of:

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Refer to the following table when answering the following questions. Table 4.1: Production Model's Prediction for Per Capita GDP (US = 1) Refer to the following table when answering the following questions. Table 4.1: Production Model's Prediction for Per Capita GDP (US = 1)   (Source: Penn World Tables 9.0) -Considering the data in Table 4.1, the explanation for the difference between the predicted and actual level of output is called ________. If you compare South Africa's observed and predicted output, this difference is equal to ________. (Source: Penn World Tables 9.0) -Considering the data in Table 4.1, the explanation for the difference between the predicted and actual level of output is called ________. If you compare South Africa's observed and predicted output, this difference is equal to ________.

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Which of the following explain(s) differences in total factor productivity?

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For efficient allocation of resources ________ and ________ must be equal across firms.

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Which of the following explain(s) differences in total factor productivity?

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Refer to the following figure when answering the following questions. Figure 4.2: The Production Function Refer to the following figure when answering the following questions. Figure 4.2: The Production Function   -Consider Figure 4.2. The shape of this production function suggests: -Consider Figure 4.2. The shape of this production function suggests:

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In models with perfect competition:

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As an economist working at the International Monetary Fund, you are given the following data for Burundi: observed per capita GDP, relative to the United States, is 0.01; predicted per capita GDP, given by As an economist working at the International Monetary Fund, you are given the following data for Burundi: observed per capita GDP, relative to the United States, is 0.01; predicted per capita GDP, given by   , is 0.18. What is total factor productivity? , is 0.18. What is total factor productivity?

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The case of the economic reforms in Russia and China provides insight into differences in:

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State whether the following production functions exhibit increasing, constant, or decreasing returns to scale in K and L. (a) State whether the following production functions exhibit increasing, constant, or decreasing returns to scale in K and L. (a)    (b)    (c)  (b) State whether the following production functions exhibit increasing, constant, or decreasing returns to scale in K and L. (a)    (b)    (c)  (c) State whether the following production functions exhibit increasing, constant, or decreasing returns to scale in K and L. (a)    (b)    (c)

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Which of the following production functions exhibits increasing returns to scale?

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Throughout the text, a simplifying assumption was made in the production function model of economic growth: the capital share, α\alpha , is set equal to one-third. But this is not necessarily the case; indeed, α\alpha can be any number greater than zero and less than one. Consider two economies, H and L, with different capital shares, α\alpha H >\gt α\alpha L. Which country will get more output for each unit of capital added? Explain.

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If the production function is given by If the production function is given by    , the marginal product of capital is (1/3)(Y/K). , the marginal product of capital is (1/3)(Y/K).

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Which of the following do(es) NOT explain differences in total factor productivity?

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Which of the following is/are essential for economic success?

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With a Cobb-Douglas production function With a Cobb-Douglas production function   , the marginal product of capital is ________ and the marginal product of labor is ________. , the marginal product of capital is ________ and the marginal product of labor is ________.

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As an economist working at the International Monetary Fund, you are given the following data for Japan: observed per capita GDP, relative to the United States, is 0.760; predicted per capita GDP, given by As an economist working at the International Monetary Fund, you are given the following data for Japan: observed per capita GDP, relative to the United States, is 0.760; predicted per capita GDP, given by   , is 1.06. What is total factor productivity? , is 1.06. What is total factor productivity?

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