According to the new classical investment model we have: MPK = Gr + 8) i. Derive the above equation and explain it briefly. Suppose that a firm has a production function of Y= AK®5L 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 = AK²L?, where A = 0.1, L= 1, Px =1, P= 1,r=0.1, and 8=0.1. What is the optimal level of capital, K*, in the steady i11. state?
According to the new classical investment model we have: MPK = Gr + 8) i. Derive the above equation and explain it briefly. Suppose that a firm has a production function of Y= AK®5L 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 = AK²L?, where A = 0.1, L= 1, Px =1, P= 1,r=0.1, and 8=0.1. What is the optimal level of capital, K*, in the steady i11. state?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![Problem 1A
According to the new classical investment model we have:
MPK = * (r + 8)
i.
Derive the above equation and explain it briefly.
Suppose that a firm has a production function of
ii.
Y= AKOSL 05
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 = AK?L?, where A = 0.1, L= 1, Px =1,
P= 1,r=0.1, and 8=-0.1. What is the optimal level of capital, K*, in the steady
ii.
state?
Problem 1B Total Investment equation is given by:
I = AK + 8K = 4 [MPK -4 (r + 8)] + ôK,
Next, draw a downward-sloping investment function where the vertical axis is
labeled with r and the horizontal axis is labeled with investment, I. Call it Figure
1.
i.
Assume that the rate of interest rate is ri and investment is I1. What will happen
to the investment if interest rate decreases? Explain it using Figure 1.
What will happen to the investment if technology improves due to some new
inventions. Explain it using Figure 1.
ii.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F55c430ce-e3ad-433b-980a-194f4526f869%2F35691c4e-f11f-4401-9a13-5278a0766d99%2F4rkdi48_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 1A
According to the new classical investment model we have:
MPK = * (r + 8)
i.
Derive the above equation and explain it briefly.
Suppose that a firm has a production function of
ii.
Y= AKOSL 05
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 = AK?L?, where A = 0.1, L= 1, Px =1,
P= 1,r=0.1, and 8=-0.1. What is the optimal level of capital, K*, in the steady
ii.
state?
Problem 1B Total Investment equation is given by:
I = AK + 8K = 4 [MPK -4 (r + 8)] + ôK,
Next, draw a downward-sloping investment function where the vertical axis is
labeled with r and the horizontal axis is labeled with investment, I. Call it Figure
1.
i.
Assume that the rate of interest rate is ri and investment is I1. What will happen
to the investment if interest rate decreases? Explain it using Figure 1.
What will happen to the investment if technology improves due to some new
inventions. Explain it using Figure 1.
ii.
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