Question 5. The short and medium run: Aggregate supply In an economy, the firms profit-maximize by comparing the MPL to the wage: 0.5.A. √K/√L = w And workers negotiate their wage raises by looking at the # of jobs and the expected inflation: EP W = √ī P The productivity is A=3.7 and there is K = 36 of capital. Workers expect the price level EP = 2. (a) Express the labor market equilibrium condition for P as a function of L. That is, isolate P and have everything else on the right-hand side. Keep L but plug in and simplify everything else. (b) Use the production function Y = A√K √L to substitute labor L in the labor market and obtain the AS curve as P(Y). That is, have √P isolated and everything else, including Y, on the right- hand side (c) Without shocks and policies, the economy is in the long-term equilibrium at Yo=74, Po=2. A fiscal expansion moves the expenditure to Y₁=80.4 in the very short-run and to Y₂=79 in the short run. Remember the distinction between very short and short. With that, find: ■ ■ the very short run output the very short run price level the short run price level (d) Show your three results from (c) in an AS/AD graph. Answers Provided: 5. (a) P = 0.18 * L (b) √P = √0.18. Y 3.7√36 (c) 74, 2, 2.28
Question 5. The short and medium run: Aggregate supply In an economy, the firms profit-maximize by comparing the MPL to the wage: 0.5.A. √K/√L = w And workers negotiate their wage raises by looking at the # of jobs and the expected inflation: EP W = √ī P The productivity is A=3.7 and there is K = 36 of capital. Workers expect the price level EP = 2. (a) Express the labor market equilibrium condition for P as a function of L. That is, isolate P and have everything else on the right-hand side. Keep L but plug in and simplify everything else. (b) Use the production function Y = A√K √L to substitute labor L in the labor market and obtain the AS curve as P(Y). That is, have √P isolated and everything else, including Y, on the right- hand side (c) Without shocks and policies, the economy is in the long-term equilibrium at Yo=74, Po=2. A fiscal expansion moves the expenditure to Y₁=80.4 in the very short-run and to Y₂=79 in the short run. Remember the distinction between very short and short. With that, find: ■ ■ the very short run output the very short run price level the short run price level (d) Show your three results from (c) in an AS/AD graph. Answers Provided: 5. (a) P = 0.18 * L (b) √P = √0.18. Y 3.7√36 (c) 74, 2, 2.28
Macroeconomics: Private and Public Choice (MindTap Course List)
16th Edition
ISBN:9781305506756
Author:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Chapter10: Dynamic Change, Economic Fluctuations, And The Ad-as Model
Section: Chapter Questions
Problem 9CQ
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