The production function for Good X: Marginal Product of Capital AP, OK Average Product of Capital Labor Capital Ouiput 10 57 5.7 267 5.70 20 324 16.20 30 657 33.3 40 1,072 41.5 26 80 50 1.524 45.2 30.48 1,976 45.2 3293 70 2391 2.724 41.5 34 16 80 33.3 34.05 2.991 33 23 100 3,048 3.7 30.48 T10 3,016 -3.2 27 42 6. 120 2945 -7.1 2454 1) is the production function for good Xexhibited 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 Aj in the above table is equal to what? 5) The production function for good Xin the above table exhibits increasing marginal returns to capital o what outout range? 4) The production function for good Xin the above table exhibits negative marginal returms to capital ove what outout range? 5) The production function for good X in the above table exhibits decreasing marginal returns to capital over what outout 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? Note: this question may be worded incorrectiy / may need corection

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter10: Cost Functions
Section: Chapter Questions
Problem 10.11P
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The production function for Good X:
AP, = (O/K
Average
Product of
Capital
Marginal
Product of
Labor
Capital Ouiput
Capital
9.
6.
10
57
5.7
5.70
20
324
26.7
16. 20
9.
30
657
33.3
40
1,072
41.5
26 80
50
1.524
45.2
30.48
60
1.976
45.2
3293
70
2,391
41.5
34.16
34.05
33.23
9.
80
2.724
33.3
6.
2,991
100
3,048
5.7
30.48
110
3,016
1.2
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?
The average product of capital of producing 2,991 units of outout (find point B) in the above table is
equal to what?
*Note: this question may be worded incorrectiy / may need correction
Transcribed Image Text:The production function for Good X: AP, = (O/K Average Product of Capital Marginal Product of Labor Capital Ouiput Capital 9. 6. 10 57 5.7 5.70 20 324 26.7 16. 20 9. 30 657 33.3 40 1,072 41.5 26 80 50 1.524 45.2 30.48 60 1.976 45.2 3293 70 2,391 41.5 34.16 34.05 33.23 9. 80 2.724 33.3 6. 2,991 100 3,048 5.7 30.48 110 3,016 1.2 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? The average product of capital of producing 2,991 units of outout (find point B) in the above table is equal to what? *Note: this question may be worded incorrectiy / may need correction
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