(a) Explain intuitively why a firm's average cost curves are U-shaped and why does its average variable cost curve achieve its minimum at a lower level of output than the average total cost curve? (b) You are given the following data on output and inputs for 10

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(a) Explain intuitively why a firm's average cost curves are U-shaped and why does its
average variable cost curve achieve its minimum at a lower level of output than the average
total cost curve? (b) You are given the following data on output and inputs for 10
production periods:
TIME
OUTPUT
CAPITAL (K)
LABOR (L)
1
225
12
20
240
14
22
3
278
10
24
4
212
14
18
5
205
12
20
6
297
16
24
7
242
16
20
8
155
10
14
212
8
20
10
180
8
14
Estimate the parameters (A, a, ß ) of Cobb-Douglas production function using
the Least-squares (OLS) regression method. [ Assume Q = AK“ L® ]. Use the
estimated parameters to determine: Returns to Scale, Equations for the marginal
product of labor and Capital. Calculate the marginal products of capital and labor
for the input combinations: K = 10, L = 25. Make a comment based on your
findings.
Transcribed Image Text:(a) Explain intuitively why a firm's average cost curves are U-shaped and why does its average variable cost curve achieve its minimum at a lower level of output than the average total cost curve? (b) You are given the following data on output and inputs for 10 production periods: TIME OUTPUT CAPITAL (K) LABOR (L) 1 225 12 20 240 14 22 3 278 10 24 4 212 14 18 5 205 12 20 6 297 16 24 7 242 16 20 8 155 10 14 212 8 20 10 180 8 14 Estimate the parameters (A, a, ß ) of Cobb-Douglas production function using the Least-squares (OLS) regression method. [ Assume Q = AK“ L® ]. Use the estimated parameters to determine: Returns to Scale, Equations for the marginal product of labor and Capital. Calculate the marginal products of capital and labor for the input combinations: K = 10, L = 25. Make a comment based on your findings.
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