Exam 3: Aggregate Production and Productivity

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Profit maximization implies that firms will want to ________.

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Suppose an economy has an increase in labor input of 60 percent, while output has increased by 100 percent. Assuming no change in total factor productivity, calculate the percentage increase in the capital input. (Use the Cobb-Douglas production function Y = AK0.3L0.7.)

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2Y = A(xK)0.3(1.6L)0.7. Dividing this by the original production function yields 2 = x 0.31.60.7. Solve for x = 3.37. The capital input has increased by 237 percent.

What does the Cobb-Douglas production function assume about the input shares in the economy?

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When the rental price of capital is above the equilibrium price ________.

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When the real wage is below the equilibrium price in the labor market ________.

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Suppose that a technological advance raises total factor productivity. Explain, step-by-step, how the economy adjusts to arrive at a new long-run equilibrium.

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Which of the following is true about per capita income?

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Profit maximization implies that firms will want to ________.

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The marginal product of capital (MPK) measures ________.

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Real capital income is given by ________.

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Which of the following constitutes an input to the Cobb-Douglas production function?

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The output an economy can produce with one unit of capital and one unit of labor is ________.

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Which of the following is true about total factor productivity (TFP)?

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The classical framework is based on what assumption(s):________.

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The marginal product of capital indicates ________. Therefore the MPK curve is also ________.

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An economy's production function is Y = AK0.3L0.7, and the economy's total output in equilibrium is $90 billion. Total capital income in this economy is ________.

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When a particular firm is fully utilizing its capital, its output is given by Y = 10 × L0.5. The cost of labor is $1 per unit. To maximize profit, how many units of labor should this firm use?

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Given the production function Y = AK0.3L0.7, if an economy's capital per worker k is $27 thousand, and its total factor productivity A is 0.5, then output per worker is (approximately) ________.

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Suppose than an economy has output Y = AK0.3L0.7, that Y equals $42 trillion, capital K is $64 trillion, and labor L is 125 million workers. Given this information, what is the closest approximation of total factor productivity A?

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Suppose than an economy has output Y = AK0.3L0.7, that Y equals $19 trillion, capital K is $27 trillion, and labor L is 125 million workers. Given this information, what is the closest approximation of total factor productivity A?

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