Exam 4: A Model of Production

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Consider an economy where the only consumption good is ice cream. Firms in this economy must:

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The production function Y=K1/3L2/3Y = K ^ { 1 / 3 } L ^ { 2 / 3 } describes:

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If the production function is Y=K1/3L2/3Y = K ^ { 1 / 3 } L ^ { 2 / 3 } , then in per worker terms, it can be written as y=K1/3/Ly = K ^ { 1 / 3 } / L .

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What are the three sources of total factor productivity discussed in the text? Can you name other possible sources? Explain your answer.

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A firm's profit is simply defined as:

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The equation Y=KaL1aY = K ^ { a } L ^ { 1 - a } is called:

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If the production function is given by Y=K1/4L3/4Y = K ^ { 1 / 4 } L ^ { 3 / 4 } and K = 81 and L = 2.5, total output equals about:

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In the United States, the average number of years of education for adults over the age of 25 is 18 years.

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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 y=k1/3y = k ^ { 1 / 3 } , is 0.18. What is total factor productivity?

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State whether the following production functions exhibit increasing, constant, or decreasing returns to scale in K and L. (a) Y=K1/3L1/2Y = K ^ { 1 / 3 } L ^ { 1 / 2 } (b) Y=K2/3LY = K ^ { 2 / 3 } L (c) Y=K1/2L1/2Y = K ^ { 1 / 2 } L ^ { 1 / 2 }

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In the poorest countries in the world, the average number of years of education for adults over the age of 25 is about:

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The solution to the firm's profit maximization is:

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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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You are an economist working for the International Monetary Fund. Your boss wants to know what the total factor productivity of China is, but all you have is data on per capita GDP, y, and the per capita capital stock, k. If you assume that capital's share of GDP is one-third, what would you use to find total factor productivity?

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One of the key characteristics of the Cobb-Douglas production function is:

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The text uses this analogy of the economic model: "As the model-builder, ________ what actions the robots can take and ________ the raw materials that fill the robot world. After constructing the world, you switch on the power source and ________."

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

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Suppose the payments to capital and labor are (w*L*)/Y* = 2/3 and (r*L*)/Y* = 1/3, respectively. One implication of this result is that ________ and profits are ________.

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

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Figure 4.4: Labor Market  Figure 4.4: Labor Market   -In Figure 4.4, MPL represents the ________,  \bar { L }  represents the ________, and the intersection of the two yields ________. -In Figure 4.4, MPL represents the ________, Lˉ\bar { L } represents the ________, and the intersection of the two yields ________.

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