The production function for Good X: Marginal Product of Capital Average Product ol Capital Labor Capital Ouiput 9. 6. 10 57 5.7 5.70 20 324 26.7 16.20 30 657 33.3 %3D 6. 40 1,072 41.5 26 80 9. 50 1.524 45.2 30.48 1.976 2391 60 45.2 32.93 70 41.5 34.16 34.05 33 23 9. 80 2.724 33.3 90 2,991 100 3,048 5.7 30.48 110 3,016 3.2 27.42 120 2.945 -7.1 24.54 1) s 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

Microeconomics A Contemporary Intro
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Author:MCEACHERN
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Chapter7: Production And Cost In The Firm
Section7.A: Appendix: A Closer Look At Production And Cost
Problem 1AQ
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The production function for Good X:
Marginal
Product of
Capital
AP, = (OK
Average
Product of
Capital
Labor Capital Ouiput
6.
6.
10
57
5.7
5.70
6.
20
324
26.7
16.20
30
657
33.3
1,072
1.524
6.
40
41.5
26 80
50
45.2
30.48
45.2
41.5
6.
60
1,976
32.93
70
2.391
2,724
34.16
9.
80
33.3
34.05
6.
2,991
33 23
9.
100
3,048
5.7
30.48
6.
I10
3,016
-3.2
27.42
120
2.945
-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 2991 units of outout (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 outout range?
4) The production function for good X in the above table exhibits negative marginal returns to capital over
what outout 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 outout (find point B) in the above table is
equal to what?
Transcribed Image Text:The production function for Good X: Marginal Product of Capital AP, = (OK Average Product of Capital Labor Capital Ouiput 6. 6. 10 57 5.7 5.70 6. 20 324 26.7 16.20 30 657 33.3 1,072 1.524 6. 40 41.5 26 80 50 45.2 30.48 45.2 41.5 6. 60 1,976 32.93 70 2.391 2,724 34.16 9. 80 33.3 34.05 6. 2,991 33 23 9. 100 3,048 5.7 30.48 6. I10 3,016 -3.2 27.42 120 2.945 -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 2991 units of outout (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 outout range? 4) The production function for good X in the above table exhibits negative marginal returns to capital over what outout 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 outout (find point B) in the above table is equal to what?
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