Exam 6: Inputs and Production Functions

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Technically inefficient points are points contained in neither the production set nor the production function.

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  -Average product reaches a maximum when labor equals: -Average product reaches a maximum when labor equals:

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For a simple graph of a production function with Q on the y-axis and L on the x-axis, the average product of labor is never equal to the slope of the ray from the origin to the apex of the production function.

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When the marginal product curve lies above the average product curve, then average product is rising.

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If marginal product is greater than average product:

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Decreasing returns to scale and diminishing marginal returns are just two different ways of saying the same thing.

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  -Marginal product reaches a maximum when labor equals: -Marginal product reaches a maximum when labor equals:

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Suppose a production function has only one input, labor. What can you tell about the slope of the production function, assuming output is on the y-axis and labor is on the x-axis, if production exhibits constant marginal returns to labor?

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  -*Diminishing marginal returns set in at labor equals: -*Diminishing marginal returns set in at labor equals:

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For the production function Q=aK+bLQ = a K + b L , where the variables are graphed as usual, the equation for a typical isoquant is K=Q2LK = \frac { Q ^ { 2 } } { L } .

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Technically inefficient points are points that are never observed in practice.

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When the marginal product of labor is falling, the average product of labor is falling.

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Increasing marginal returns occur when the total product function is:

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An isoquant represents:

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=0 =1 =2 =3 =4 =0 0 0 0 0 0 =1 0 1 2 3 4 =2 0 8 16 24 32 =3 0 27 54 81 108 =4 0 64 128 192 256 -Based on the table above, holding capital constant at 3 units, the marginal productivity of the second laborer is

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Let a firm's production function be Q=100(aL+bK)Q = 100 ( a L + b K ) . The production function then becomes Q=500(aL+bK)Q = 500 ( a L + b K ) . Labor-saving technological progress has occurred.

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For a simple graph of a production function with Q on the y-axis and L on the x-axis, the average product of labor is equal to the slope of the ray from the origin to the apex of the production function for all values of L.

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Consider comparing the relationship between marginal and average product. The relationship between MPL and APL is not the same as the relationship between the marginal of anything and the average of anything.

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 For the production function Q=aL+bK, where a and b are constants, the MRTSL,K\text { For the production function } \mathrm { Q } = \mathrm { aL } + \mathrm { bK } \text {, where } \mathrm { a } \text { and } \mathrm { b } \text { are constants, the } M R T S _ { L , K }

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The MRTSL,K=M R T S _ { L , K } = ____

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