Exam 17: Technology

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The economist's distinction between the long run and the short run captures the idea that quantities of some factor inputs can be varied in the short run but not in the long run.

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The production set of a firm is the set of all products the firm can produce.

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The production function f(x, y) = The production function f(x, y) =   +   has increasing returns to scale. + The production function f(x, y) =   +   has increasing returns to scale. has increasing returns to scale.

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A firm has the production function f(X, Y) = A firm has the production function f(X, Y) =   , where X is the amount of factor x used and Y is the amount of factor y used. On a diagram we put X on the horizontal axis and Y on the vertical axis. We draw some isoquants. Now we draw a straight line on the graph and we notice that wherever this line meets an isoquant, the isoquant has a slope of -9. The straight line we drew , where X is the amount of factor x used and Y is the amount of factor y used. On a diagram we put X on the horizontal axis and Y on the vertical axis. We draw some isoquants. Now we draw a straight line on the graph and we notice that wherever this line meets an isoquant, the isoquant has a slope of -9. The straight line we drew

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A firm has the production function f(x, y) = x.5 + y, where x is the amount of factor x it uses and y is the amount of factor y. On a diagram we put x on the horizontal axis and y on the vertical axis. We draw some isoquants. Now we draw a straight line on the graph and we notice that the slopes of all the isoquants that it meets have the same slope at the point where they meet this line. The straight line we drew was

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A firm has the production function f(x, y) = A firm has the production function f(x, y) =   . The slope of the firm's isoquant at the point (x, y) = (50, 70) is (pick the closest one) . The slope of the firm's isoquant at the point (x, y) = (50, 70) is (pick the closest one)

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A firm has the production function f(x, y) = x0.90y0.80. This firm has

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In any production process, the marginal product of labor equals

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A firm has the production function f(x, y) = A firm has the production function f(x, y) =   . The slope of the firm's isoquant at the point (x, y) = (20, 40) is (pick the closest one) . The slope of the firm's isoquant at the point (x, y) = (20, 40) is (pick the closest one)

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A firm has the production function f(x, y) = x + min{x, y}. The isoquants for the firm

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A production isoquant is a locus of combinations of inputs that are equally profitable.

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If there are constant returns to scale, then doubling the amount of any input will exactly double the amount of output.

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If the production function is f(x, y) = min{ 12x, 3y}, then there is convexity in production.

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If the production function is f(x1, x2) = x1x2, then there are constant returns to scale.

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The production function Q = 50K0.25L0.25 exhibits

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If a firm moves from one point on a production isoquant to another point on the same isoquant, which of the following will certainly not happen?

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A firm has the production function f(x, y) = A firm has the production function f(x, y) =   . The slope of the firm's isoquant at the point (x, y) = (40, 80) is (pick the closest one) . The slope of the firm's isoquant at the point (x, y) = (40, 80) is (pick the closest one)

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A firm has a production function f(x, y) = 1.80(x0.80 + y0.80)2 whenever x > 0 and y > 0. When the amounts of both inputs are positive, this firm has

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A firm has the production function f(x1, x2) = x0.801x0.202. The isoquant on which output is A firm has the production function f(x<sub>1</sub>, x<sub>2</sub>) = x<sup>0.80</sup><sub>1</sub>x<sup>0.20</sup><sub>2</sub>. The isoquant on which output is   has the equation has the equation

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If output is produced with two factors of production and with increasing returns to scale,

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