Given the following data on output and inputs for ten production period Capital (K) 10 Production period Output (Q) Labour (L) 1 225 20 240 12 22 3 278 10 26 4 212 14 18 5 199 12 16 297 16 24 242 16 20 155 10 14 215 20 10 160 8 14 1. Estimate the parameters (A, a and B) of a Cobb-Douglas production function using the least squares regression method. 2. Use estimated parameters to determine (a) returns to scale and (b) factor intensity 3. Determine elasticity of labour and elasticity of capital 4. Measure marginal product of labour and capital for the input combination (L=20 and k=30) 5. Construct the equation for isoquant and graph the isoquant assuming output is 100 units and L = 2,4.6.8.10.12.14.16 and 18I

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
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ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
ChapterB: Differential Calculus Techniques In Management
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pls answer the attached question

Given the following data on output and inputs for ten production period
Production period
Output (Q)
Capital (K)
Labour (L)
1
225
10
20
2
240
12
22
3
278
10
26
4
212
14
18
199
12
16
6.
297
16
24
7
242
16
20
8
155
10
14
215
8
20
10
160
8
14
1. Estimate the parameters (A, a and B) of a Cobb-Douglas production function using the least
squares regression method.
2. Use estimated parameters to determine (a) returns to scale and (b) factor intensity
3. Determine elasticity of labour and elasticity of capital
4. Measure marginal product of labour and capital for the input combination (L=20 and k=30)
5. Construct the equation for isoquant and graph the isoquant assuming output is 100 units
and L = 2,4,6,8,10,12,14.16 and 18.
Transcribed Image Text:Given the following data on output and inputs for ten production period Production period Output (Q) Capital (K) Labour (L) 1 225 10 20 2 240 12 22 3 278 10 26 4 212 14 18 199 12 16 6. 297 16 24 7 242 16 20 8 155 10 14 215 8 20 10 160 8 14 1. Estimate the parameters (A, a and B) of a Cobb-Douglas production function using the least squares regression method. 2. Use estimated parameters to determine (a) returns to scale and (b) factor intensity 3. Determine elasticity of labour and elasticity of capital 4. Measure marginal product of labour and capital for the input combination (L=20 and k=30) 5. Construct the equation for isoquant and graph the isoquant assuming output is 100 units and L = 2,4,6,8,10,12,14.16 and 18.
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