Problem 1AAccording 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 ofii.Y= AKOSL 05where Y is output, A is productivity (or technology), K is capital and L islabour. When A = 2, K = 100 and L= 400. Obtain the marginal product ofcapital (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 steadyii.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 islabeled with r and the horizontal axis is labeled with investment, I. Call it Figure1.i.Assume that the rate of interest rate is ri and investment is I1. What will happento the investment if interest rate decreases? Explain it using Figure 1.What will happen to the investment if technology improves due to some newinventions. Explain it using Figure 1.ii.

since you have asked multiple questions and according to our policy we can solve the first question…

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?

Economics:

10th Edition

ISBN:9781285859460

Author:BOYES, William

Publisher:BOYES, William

Chapter9: Aggregate Expenditures

Section: Chapter Questions

Problem 5E

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