Exam 19:Technology-Part A

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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

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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False

In any production process,the marginal product of labor equals

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B

It is possible to have decreasing marginal products for all inputs,and yet have increasing returns to scale.

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A firm has the production function f(X,Y)=X3/4 Y1/4,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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If the production function is f(x,y)=min{12x,3y},then there is convexity in production.

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A firm has the production function f(X,Y)= X 1/2 Y 1/2,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 23.The straight line we drew

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The production function Q =50K0.25L0.75 exhibits

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

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A firm has the production function f(x1,x2)=x0.801x0.202.The isoquant on which output is 702/10 has the equation

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A firm uses only two inputs to produce its output.These inputs are perfect substitutes.This firm

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The production function Q=50K0.25L0.75 exhibits

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A firm has two variable factors and a production function f(x1,x2)=(2x1 + 4x2)1/2.The technical rate of substitution between x1 and x2 is constant.

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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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If the marginal product of each factor decreases as the amount of that factor used increases,then there must be decreasing returns to scale.

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If there is one input used in production and if there are decreasing returns to scale,then the marginal product for the input will be diminishing.

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A firm has the production function f(x1,x2)=x11x0.502.The isoquant on which output is 305/10 has the equation

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On separate axes,draw typical production isoquants for each of the following production functions. a.f(x,y)= min{2x,x + y}. b.f(x,y)= xy. c.f(x,y)= x +min{x,y}. d.(x,y)= x + y1/2.

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

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