Suppose that the net investment flow is described by the equation I(t) = 3t/2 and that %3D the initial capital stock, at time t = 0, is K(0). What is the time path of capital K?
Suppose that the net investment flow is described by the equation I(t) = 3t/2 and that %3D the initial capital stock, at time t = 0, is K(0). What is the time path of capital K?
Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter5: Business And Economic Forecasting
Section: Chapter Questions
Problem 2E
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![Suppose that the net investment flow is described by the equation I(t) = 3t/2 and that
the initial capital stock, at time t= 0, is K(0). What is the time path of capital K?
If net investment is a constant flow at I(t) = 1000 (Ghana Cedis per year), what will be
the total net investment (capital formation) during a year, from t= 0 to t= 1?
If I(t) = 3t/2 (thousands of Ghana Cedis per year) – a nonconstant flow – what will be
the capital formation during the time interval [1, 4], that is, during the second, third, and
fourth years?
i) Show that the Cobb-Douglas production
Q=AK*L-a
where Q is total output, Kis capital stock, Lis labour stock and A and a are positive
stants, exhibit constant returns to scale.
ii) What returns to scale does Q=5K025 L06 exhibit?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fed940f82-f1d0-4bc4-810b-9e281f2faa8c%2Fa224c4ae-2545-4a4c-abcd-b987a70de170%2Fz38ev6d_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose that the net investment flow is described by the equation I(t) = 3t/2 and that
the initial capital stock, at time t= 0, is K(0). What is the time path of capital K?
If net investment is a constant flow at I(t) = 1000 (Ghana Cedis per year), what will be
the total net investment (capital formation) during a year, from t= 0 to t= 1?
If I(t) = 3t/2 (thousands of Ghana Cedis per year) – a nonconstant flow – what will be
the capital formation during the time interval [1, 4], that is, during the second, third, and
fourth years?
i) Show that the Cobb-Douglas production
Q=AK*L-a
where Q is total output, Kis capital stock, Lis labour stock and A and a are positive
stants, exhibit constant returns to scale.
ii) What returns to scale does Q=5K025 L06 exhibit?
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