Problem 1A According to the new classical investment model we have: MPK =* (r + 8) (1) i. Derive the above equation and explain it briefly. Suppose that a firm has a production function of Y= AKOSL 05 ii. where Y is output, A is productivity (or technology), K is capital and L is labour. When A = 2, K = 100 and L = 400. Obtain the marginal product of capital (MPK). Consider a production function that Y = AK²L², where A = 0.1, L = 1, Px =1, iii. P = 1, r= 0.1, and 8=0.1. What is the optimal level of capital, K*, in the steady state?

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Chapter9: An Introduction To Basic Macroeconomic Markets
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Problem 1A
According to the new classical investment model we have:
MPK = (r + 8)
(1)
Derive the above equation and explain it briefly.
Suppose that a firm has a production function of
Y = AKOSL 05
i.
i.
where Y is output, A is productivity (or technology), K is capital and L is
labour. When A = 2, K = 100 and L = 400. Obtain the marginal product of
сapital (MPK).
Consider a production function that Y = AK?L?, where A = 0.1, L= 1, Pk =1,
P = 1, r= 0.1, and 8=0.1. What is the optimal level of capital, K*, in the steady
state?
ii.
Transcribed Image Text:Problem 1A According to the new classical investment model we have: MPK = (r + 8) (1) Derive the above equation and explain it briefly. Suppose that a firm has a production function of Y = AKOSL 05 i. i. where Y is output, A is productivity (or technology), K is capital and L is labour. When A = 2, K = 100 and L = 400. Obtain the marginal product of сapital (MPK). Consider a production function that Y = AK?L?, where A = 0.1, L= 1, Pk =1, P = 1, r= 0.1, and 8=0.1. What is the optimal level of capital, K*, in the steady state? ii.
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