Exam 4: A Model of Production

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Models simplify __________ of decisions into just a few equations.

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What are the shortcomings of using the production model What are the shortcomings of using the production model    ? What might we include in our model to improve the fit of this simple model? ? What might we include in our model to improve the fit of this simple model?

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The two main inputs we consider in our production function model are labor and land.

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In the Cobb-Douglas production function In the Cobb-Douglas production function   ,if a = 1/3,then: ,if a = 1/3,then:

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In the year 2000,the five richest countries had a per capita GDP __________ times higher than the five poorest countries.Differences in capital per worker explain about __________ percent of this difference,with total factor productivity making up about __________ percent of this difference.

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In the production function In the production function    ,A± represents a productivity parameter. ,A± represents a productivity parameter.

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

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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? • If the marginal product of capital is greater than the rental price of capital. • If the marginal product of labor is less than the wage.

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The marginal product of labor is defined as:

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In the Cobb-Douglas production function In the Cobb-Douglas production function   ,defining y = Y/L as output per person and k = K/L as capital per person,the per person production function is: ,defining y = Y/L as output per person and k = K/L as capital per person,the per person production function is:

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If the production function is given by If the production function is given by   And   And K = L = 8,total output equals: And If the production function is given by   And   And K = L = 8,total output equals: And K = L = 8,total output equals:

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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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  -Consider Figure 4.3.The shape of this production function suggests: -Consider Figure 4.3.The shape of this production function suggests:

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To decompose what explains the difference in per capita GDP between any two countries,say,1 and 2,we would use:

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  -Consider Table 4.1,which compares the model   To actual statistical data on per capita GDP.You observe: -Consider Table 4.1,which compares the model   -Consider Table 4.1,which compares the model   To actual statistical data on per capita GDP.You observe: To actual statistical data on per capita GDP.You observe:

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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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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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Consider two economies.If each country has the same production function and the same amount of capital and labor,the country that __________ produces more.

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If the marginal product of capital equals the rental rate of capital,firms should not hire any more capital.

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  -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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