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The production function for Good X. L Labor K Capital O Output MP=(^Q/^K) Marginal Product of Capital AP=(Q/K) Average Product Of Capital 9 0 0

The production function for Good X.

L
Labor

K
Capital

O
Output

MP=(^Q/^K)
Marginal Product of Capital

AP=(Q/K)
Average Product Of Capital

9

0

0

--

--

9

10

57

5.7

5.70

9

20

324

26.7

16.20

9

30

657

33.3

B

9

40

1072

41.5

26.80

9

50

1524

45.2

30.48

9

60

1976

45.2

32.93

9

70

2391

41.5

34.16

9

80

2724

33.3

34.05

9

90

2991

A

33.23

9

100

3048

5.7

30.48

9

110

3016

-3.2

27.42

9

120

2943

-7.1

24.54

1) Is the production function for good X exhibited in the above table for the long run or the short run? Explain your answer.

2) The marginal product of capital of producing 2,991 units of output (find point A) in the above table is equal to what?

3) The production function for good X in the above table exhibits increasing marginal returns to capital over what output range?

4) The production function for good X in the above table exhibits negative marginal returns to capital over what output range?

5) The production function for good X in the above table exhibits decreasing marginal returns to capital over what output range?

6) The average product of capital of producing 2,991 units of output (find point B) in the above table is equal to what?

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