Q3. Consider the following Cobb-Douglas production function: Y = AL° K- where 0 = 0.25 Assuming settings of Neo-Classical theory of investment derive the following: a. Function representing the current value of desired stock of capital. b. Current value of desired stock of capital when output is 5 billion S while rental cost is 0.12. c. Now suppose output is expected to rise to 7 billion $, find corresponding value in desired stock of capital?

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Chapter2: Second-order Linear Odes
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Q3. Consider the following Cobb-Douglas production function:
Y = AL® K²-® where 0 = 0.25
Assuming settings of Neo-Classical theory of investment derive the following:
a. Function representing the current value of desired stock of capital.
b. Current value of desired stock of capital when output is 5 billion $ while rental cost
is 0.12.
c. Now suppose output is expected to rise to 7 billion $, find corresponding value in
desired stock of capital?
d. How would you define value of investment in the given context of discussion?
Transcribed Image Text:Q3. Consider the following Cobb-Douglas production function: Y = AL® K²-® where 0 = 0.25 Assuming settings of Neo-Classical theory of investment derive the following: a. Function representing the current value of desired stock of capital. b. Current value of desired stock of capital when output is 5 billion $ while rental cost is 0.12. c. Now suppose output is expected to rise to 7 billion $, find corresponding value in desired stock of capital? d. How would you define value of investment in the given context of discussion?
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