1. Suppose the production function is zF(K, N) = ZKªN!a and zF(K', N') = 2K°N-a. (a) Set up the firms problem. (b) Show that labor demand curve is downward sloping (c) Show that investment demand is decreasing in interest rate. 2. Use the Keynesian cross to derive the AD curve. Show it is decreasing in r. 3. Use the labor market clearing condition to derive the AS curve. Show it is increasing in r.
1. Suppose the production function is zF(K, N) = ZKªN!a and zF(K', N') = 2K°N-a. (a) Set up the firms problem. (b) Show that labor demand curve is downward sloping (c) Show that investment demand is decreasing in interest rate. 2. Use the Keynesian cross to derive the AD curve. Show it is decreasing in r. 3. Use the labor market clearing condition to derive the AS curve. Show it is increasing in r.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![1. Suppose the production function is zF(K, N) = 2KªN]« and z F(K', N') = 2KªNI-a.
(a) Set up the firms problem.
(b) Show that labor demand curve is downward sloping
(c) Show that investment demand is decreasing in interest rate.
2. Use the Keynesian cross to derive the AD curve. Show it is decreasing in r.
3. Use the labor market clearing condition to derive the AS curve. Show it is increasing in r.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb56d132e-896e-4795-b764-57eafe300548%2F39b83e63-245f-4250-ba47-a4234d2127f3%2Ffc2nf9c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Suppose the production function is zF(K, N) = 2KªN]« and z F(K', N') = 2KªNI-a.
(a) Set up the firms problem.
(b) Show that labor demand curve is downward sloping
(c) Show that investment demand is decreasing in interest rate.
2. Use the Keynesian cross to derive the AD curve. Show it is decreasing in r.
3. Use the labor market clearing condition to derive the AS curve. Show it is increasing in r.
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